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Finding the Third Proportional to 70,523,289 and 106,851,519

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Solution

The third proportional to 70,523,289 and 106,851,519 is: 161,893,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523,289 : 106,851,519 = 106,851,519 : x
  2. Step 2: Convert to fraction form
    70,523,289/106,851,519 = 106,851,519/x
  3. Step 3: Cross multiply
    70,523,289x = 106,851,519 × 106,851,519
  4. Step 4: Simplify right side
    70,523,289x = 11,417,247,112,607,360
  5. Step 5: Solve for x
    x = 11,417,247,112,607,360/70,523,289
  6. Step 6: Final answer
    x = 161,893,287.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.