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Finding the Third Proportional to 44,900,680 and 96,986,384

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Solution

The third proportional to 44,900,680 and 96,986,384 is: 209,492,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,900,680 : 96,986,384 = 96,986,384 : x
  2. Step 2: Convert to fraction form
    44,900,680/96,986,384 = 96,986,384/x
  3. Step 3: Cross multiply
    44,900,680x = 96,986,384 × 96,986,384
  4. Step 4: Simplify right side
    44,900,680x = 9,406,358,681,395,456
  5. Step 5: Solve for x
    x = 9,406,358,681,395,456/44,900,680
  6. Step 6: Final answer
    x = 209,492,566.29

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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.