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Finding the Third Proportional to 91,246,894.50 and 141,378,781.50

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Solution

The third proportional to 91,246,894.50 and 141,378,781.50 is: 219,053,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,246,894.50 : 141,378,781.50 = 141,378,781.50 : x
  2. Step 2: Convert to fraction form
    91,246,894.50/141,378,781.50 = 141,378,781.50/x
  3. Step 3: Cross multiply
    91,246,894.50x = 141,378,781.50 × 141,378,781.50
  4. Step 4: Simplify right side
    91,246,894.50x = 19,987,959,858,424,744
  5. Step 5: Solve for x
    x = 19,987,959,858,424,744/91,246,894.50
  6. Step 6: Final answer
    x = 219,053,590.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.