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Finding the Third Proportional to 109,381,616 and 169,312,746

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Solution

The third proportional to 109,381,616 and 169,312,746 is: 262,080,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,381,616 : 169,312,746 = 169,312,746 : x
  2. Step 2: Convert to fraction form
    109,381,616/169,312,746 = 169,312,746/x
  3. Step 3: Cross multiply
    109,381,616x = 169,312,746 × 169,312,746
  4. Step 4: Simplify right side
    109,381,616x = 28,666,805,958,060,516
  5. Step 5: Solve for x
    x = 28,666,805,958,060,516/109,381,616
  6. Step 6: Final answer
    x = 262,080,658.58

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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.