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Finding the Third Proportional to 146,512,691,798.50 and 317,365,613,904.50

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Solution

The third proportional to 146,512,691,798.50 and 317,365,613,904.50 is: 687,455,343,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,512,691,798.50 : 317,365,613,904.50 = 317,365,613,904.50 : x
  2. Step 2: Convert to fraction form
    146,512,691,798.50/317,365,613,904.50 = 317,365,613,904.50/x
  3. Step 3: Cross multiply
    146,512,691,798.50x = 317,365,613,904.50 × 317,365,613,904.50
  4. Step 4: Simplify right side
    146,512,691,798.50x = 100,720,932,888,980,158,939,136
  5. Step 5: Solve for x
    x = 100,720,932,888,980,158,939,136/146,512,691,798.50
  6. Step 6: Final answer
    x = 687,455,343,646.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.