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Finding the Third Proportional to 78,564,948.50 and 185,199,397

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Solution

The third proportional to 78,564,948.50 and 185,199,397 is: 436,566,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,948.50 : 185,199,397 = 185,199,397 : x
  2. Step 2: Convert to fraction form
    78,564,948.50/185,199,397 = 185,199,397/x
  3. Step 3: Cross multiply
    78,564,948.50x = 185,199,397 × 185,199,397
  4. Step 4: Simplify right side
    78,564,948.50x = 34,298,816,649,163,608
  5. Step 5: Solve for x
    x = 34,298,816,649,163,608/78,564,948.50
  6. Step 6: Final answer
    x = 436,566,398.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.