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Finding the Third Proportional to 42,902,168 and 91,417,070

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Solution

The third proportional to 42,902,168 and 91,417,070 is: 194,793,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902,168 : 91,417,070 = 91,417,070 : x
  2. Step 2: Convert to fraction form
    42,902,168/91,417,070 = 91,417,070/x
  3. Step 3: Cross multiply
    42,902,168x = 91,417,070 × 91,417,070
  4. Step 4: Simplify right side
    42,902,168x = 8,357,080,687,384,900
  5. Step 5: Solve for x
    x = 8,357,080,687,384,900/42,902,168
  6. Step 6: Final answer
    x = 194,793,901.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.