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Finding the Third Proportional to 135,607,424.06 and 294,332,531.44

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Solution

The third proportional to 135,607,424.06 and 294,332,531.44 is: 638,841,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,424.06 : 294,332,531.44 = 294,332,531.44 : x
  2. Step 2: Convert to fraction form
    135,607,424.06/294,332,531.44 = 294,332,531.44/x
  3. Step 3: Cross multiply
    135,607,424.06x = 294,332,531.44 × 294,332,531.44
  4. Step 4: Simplify right side
    135,607,424.06x = 86,631,639,062,406,928
  5. Step 5: Solve for x
    x = 86,631,639,062,406,928/135,607,424.06
  6. Step 6: Final answer
    x = 638,841,417.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.