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Finding the Third Proportional to 47,685,098 and 102,992,428

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Solution

The third proportional to 47,685,098 and 102,992,428 is: 222,447,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,685,098 : 102,992,428 = 102,992,428 : x
  2. Step 2: Convert to fraction form
    47,685,098/102,992,428 = 102,992,428/x
  3. Step 3: Cross multiply
    47,685,098x = 102,992,428 × 102,992,428
  4. Step 4: Simplify right side
    47,685,098x = 10,607,440,225,335,184
  5. Step 5: Solve for x
    x = 10,607,440,225,335,184/47,685,098
  6. Step 6: Final answer
    x = 222,447,696.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.