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Finding the Third Proportional to 68,310,306 and 105,657,516

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Solution

The third proportional to 68,310,306 and 105,657,516 is: 163,423,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310,306 : 105,657,516 = 105,657,516 : x
  2. Step 2: Convert to fraction form
    68,310,306/105,657,516 = 105,657,516/x
  3. Step 3: Cross multiply
    68,310,306x = 105,657,516 × 105,657,516
  4. Step 4: Simplify right side
    68,310,306x = 11,163,510,687,290,256
  5. Step 5: Solve for x
    x = 11,163,510,687,290,256/68,310,306
  6. Step 6: Final answer
    x = 163,423,520.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.