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Finding the Third Proportional to 73,924,548.75 and 114,918,922.13

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Solution

The third proportional to 73,924,548.75 and 114,918,922.13 is: 178,646,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924,548.75 : 114,918,922.13 = 114,918,922.13 : x
  2. Step 2: Convert to fraction form
    73,924,548.75/114,918,922.13 = 114,918,922.13/x
  3. Step 3: Cross multiply
    73,924,548.75x = 114,918,922.13 × 114,918,922.13
  4. Step 4: Simplify right side
    73,924,548.75x = 13,206,358,662,371,814
  5. Step 5: Solve for x
    x = 13,206,358,662,371,814/73,924,548.75
  6. Step 6: Final answer
    x = 178,646,456.23

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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.