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Finding the Third Proportional to 44,926,084 and 97,025,384

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Solution

The third proportional to 44,926,084 and 97,025,384 is: 209,542,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,926,084 : 97,025,384 = 97,025,384 : x
  2. Step 2: Convert to fraction form
    44,926,084/97,025,384 = 97,025,384/x
  3. Step 3: Cross multiply
    44,926,084x = 97,025,384 × 97,025,384
  4. Step 4: Simplify right side
    44,926,084x = 9,413,925,140,347,456
  5. Step 5: Solve for x
    x = 9,413,925,140,347,456/44,926,084
  6. Step 6: Final answer
    x = 209,542,526.35

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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.