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Finding the Third Proportional to 201,397,407 and 310,992,829.50

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Solution

The third proportional to 201,397,407 and 310,992,829.50 is: 480,227,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,407 : 310,992,829.50 = 310,992,829.50 : x
  2. Step 2: Convert to fraction form
    201,397,407/310,992,829.50 = 310,992,829.50/x
  3. Step 3: Cross multiply
    201,397,407x = 310,992,829.50 × 310,992,829.50
  4. Step 4: Simplify right side
    201,397,407x = 96,716,540,000,416,064
  5. Step 5: Solve for x
    x = 96,716,540,000,416,064/201,397,407
  6. Step 6: Final answer
    x = 480,227,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.