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Finding the Third Proportional to 100,160,569.50 and 217,452,505.50

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Solution

The third proportional to 100,160,569.50 and 217,452,505.50 is: 472,097,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,160,569.50 : 217,452,505.50 = 217,452,505.50 : x
  2. Step 2: Convert to fraction form
    100,160,569.50/217,452,505.50 = 217,452,505.50/x
  3. Step 3: Cross multiply
    100,160,569.50x = 217,452,505.50 × 217,452,505.50
  4. Step 4: Simplify right side
    100,160,569.50x = 47,285,592,148,227,528
  5. Step 5: Solve for x
    x = 47,285,592,148,227,528/100,160,569.50
  6. Step 6: Final answer
    x = 472,097,876.28

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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.