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Finding the Third Proportional to 66,816,335.53 and 97,832,472.05

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Solution

The third proportional to 66,816,335.53 and 97,832,472.05 is: 143,246,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816,335.53 : 97,832,472.05 = 97,832,472.05 : x
  2. Step 2: Convert to fraction form
    66,816,335.53/97,832,472.05 = 97,832,472.05/x
  3. Step 3: Cross multiply
    66,816,335.53x = 97,832,472.05 × 97,832,472.05
  4. Step 4: Simplify right side
    66,816,335.53x = 9,571,192,586,802,578
  5. Step 5: Solve for x
    x = 9,571,192,586,802,578/66,816,335.53
  6. Step 6: Final answer
    x = 143,246,296.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.