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Finding the Third Proportional to 97,625,398.50 and 142,944,702.75

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Solution

The third proportional to 97,625,398.50 and 142,944,702.75 is: 209,301,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,625,398.50 : 142,944,702.75 = 142,944,702.75 : x
  2. Step 2: Convert to fraction form
    97,625,398.50/142,944,702.75 = 142,944,702.75/x
  3. Step 3: Cross multiply
    97,625,398.50x = 142,944,702.75 × 142,944,702.75
  4. Step 4: Simplify right side
    97,625,398.50x = 20,433,188,044,285,856
  5. Step 5: Solve for x
    x = 20,433,188,044,285,856/97,625,398.50
  6. Step 6: Final answer
    x = 209,301,968.12

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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.