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Finding the Third Proportional to 125,874,025.88 and 272,432,728.13

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Solution

The third proportional to 125,874,025.88 and 272,432,728.13 is: 589,633,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874,025.88 : 272,432,728.13 = 272,432,728.13 : x
  2. Step 2: Convert to fraction form
    125,874,025.88/272,432,728.13 = 272,432,728.13/x
  3. Step 3: Cross multiply
    125,874,025.88x = 272,432,728.13 × 272,432,728.13
  4. Step 4: Simplify right side
    125,874,025.88x = 74,219,591,353,630,160
  5. Step 5: Solve for x
    x = 74,219,591,353,630,160/125,874,025.88
  6. Step 6: Final answer
    x = 589,633,888.63

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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.