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Finding the Third Proportional to 70,889,282 and 106,215,659

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Solution

The third proportional to 70,889,282 and 106,215,659 is: 159,146,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,889,282 : 106,215,659 = 106,215,659 : x
  2. Step 2: Convert to fraction form
    70,889,282/106,215,659 = 106,215,659/x
  3. Step 3: Cross multiply
    70,889,282x = 106,215,659 × 106,215,659
  4. Step 4: Simplify right side
    70,889,282x = 11,281,766,216,804,280
  5. Step 5: Solve for x
    x = 11,281,766,216,804,280/70,889,282
  6. Step 6: Final answer
    x = 159,146,289.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.