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Finding the Third Proportional to 100,369,717.31 and 153,439,412.06

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Solution

The third proportional to 100,369,717.31 and 153,439,412.06 is: 234,569,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369,717.31 : 153,439,412.06 = 153,439,412.06 : x
  2. Step 2: Convert to fraction form
    100,369,717.31/153,439,412.06 = 153,439,412.06/x
  3. Step 3: Cross multiply
    100,369,717.31x = 153,439,412.06 × 153,439,412.06
  4. Step 4: Simplify right side
    100,369,717.31x = 23,543,653,174,085,672
  5. Step 5: Solve for x
    x = 23,543,653,174,085,672/100,369,717.31
  6. Step 6: Final answer
    x = 234,569,288.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.