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Finding the Third Proportional to 42,412,139 and 91,523,113

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Solution

The third proportional to 42,412,139 and 91,523,113 is: 197,501,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412,139 : 91,523,113 = 91,523,113 : x
  2. Step 2: Convert to fraction form
    42,412,139/91,523,113 = 91,523,113/x
  3. Step 3: Cross multiply
    42,412,139x = 91,523,113 × 91,523,113
  4. Step 4: Simplify right side
    42,412,139x = 8,376,480,213,210,769
  5. Step 5: Solve for x
    x = 8,376,480,213,210,769/42,412,139
  6. Step 6: Final answer
    x = 197,501,951.34

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