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Finding the Third Proportional to 73,306,449 and 107,563,200

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Solution

The third proportional to 73,306,449 and 107,563,200 is: 157,828,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,306,449 : 107,563,200 = 107,563,200 : x
  2. Step 2: Convert to fraction form
    73,306,449/107,563,200 = 107,563,200/x
  3. Step 3: Cross multiply
    73,306,449x = 107,563,200 × 107,563,200
  4. Step 4: Simplify right side
    73,306,449x = 11,569,841,994,240,000
  5. Step 5: Solve for x
    x = 11,569,841,994,240,000/73,306,449
  6. Step 6: Final answer
    x = 157,828,433.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.