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Finding the Third Proportional to 67,132,488 and 103,664,307

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Solution

The third proportional to 67,132,488 and 103,664,307 is: 160,075,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,488 : 103,664,307 = 103,664,307 : x
  2. Step 2: Convert to fraction form
    67,132,488/103,664,307 = 103,664,307/x
  3. Step 3: Cross multiply
    67,132,488x = 103,664,307 × 103,664,307
  4. Step 4: Simplify right side
    67,132,488x = 10,746,288,545,790,248
  5. Step 5: Solve for x
    x = 10,746,288,545,790,248/67,132,488
  6. Step 6: Final answer
    x = 160,075,827.16

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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.