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Finding the Third Proportional to 100,730,243.25 and 219,195,089.72

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Solution

The third proportional to 100,730,243.25 and 219,195,089.72 is: 476,981,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730,243.25 : 219,195,089.72 = 219,195,089.72 : x
  2. Step 2: Convert to fraction form
    100,730,243.25/219,195,089.72 = 219,195,089.72/x
  3. Step 3: Cross multiply
    100,730,243.25x = 219,195,089.72 × 219,195,089.72
  4. Step 4: Simplify right side
    100,730,243.25x = 48,046,487,356,810,864
  5. Step 5: Solve for x
    x = 48,046,487,356,810,864/100,730,243.25
  6. Step 6: Final answer
    x = 476,981,746.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.