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Finding the Third Proportional to 68,035,446 and 105,061,387

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Solution

The third proportional to 68,035,446 and 105,061,387 is: 162,237,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,035,446 : 105,061,387 = 105,061,387 : x
  2. Step 2: Convert to fraction form
    68,035,446/105,061,387 = 105,061,387/x
  3. Step 3: Cross multiply
    68,035,446x = 105,061,387 × 105,061,387
  4. Step 4: Simplify right side
    68,035,446x = 11,037,895,038,363,768
  5. Step 5: Solve for x
    x = 11,037,895,038,363,768/68,035,446
  6. Step 6: Final answer
    x = 162,237,417.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.