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Finding the Third Proportional to 98,593,924 and 212,776,564

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Solution

The third proportional to 98,593,924 and 212,776,564 is: 459,195,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,593,924 : 212,776,564 = 212,776,564 : x
  2. Step 2: Convert to fraction form
    98,593,924/212,776,564 = 212,776,564/x
  3. Step 3: Cross multiply
    98,593,924x = 212,776,564 × 212,776,564
  4. Step 4: Simplify right side
    98,593,924x = 45,273,866,187,646,096
  5. Step 5: Solve for x
    x = 45,273,866,187,646,096/98,593,924
  6. Step 6: Final answer
    x = 459,195,296.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.