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Finding the Third Proportional to 191,005,708.50 and 409,242,807

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Solution

The third proportional to 191,005,708.50 and 409,242,807 is: 876,830,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,005,708.50 : 409,242,807 = 409,242,807 : x
  2. Step 2: Convert to fraction form
    191,005,708.50/409,242,807 = 409,242,807/x
  3. Step 3: Cross multiply
    191,005,708.50x = 409,242,807 × 409,242,807
  4. Step 4: Simplify right side
    191,005,708.50x = 167,479,675,081,239,264
  5. Step 5: Solve for x
    x = 167,479,675,081,239,264/191,005,708.50
  6. Step 6: Final answer
    x = 876,830,731.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.