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Finding the Third Proportional to 89,663,776 and 142,002,096

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Solution

The third proportional to 89,663,776 and 142,002,096 is: 224,891,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,663,776 : 142,002,096 = 142,002,096 : x
  2. Step 2: Convert to fraction form
    89,663,776/142,002,096 = 142,002,096/x
  3. Step 3: Cross multiply
    89,663,776x = 142,002,096 × 142,002,096
  4. Step 4: Simplify right side
    89,663,776x = 20,164,595,268,393,216
  5. Step 5: Solve for x
    x = 20,164,595,268,393,216/89,663,776
  6. Step 6: Final answer
    x = 224,891,212.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.