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Finding the Third Proportional to 106,620,375 and 163,810,423.50

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Solution

The third proportional to 106,620,375 and 163,810,423.50 is: 251,676,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,620,375 : 163,810,423.50 = 163,810,423.50 : x
  2. Step 2: Convert to fraction form
    106,620,375/163,810,423.50 = 163,810,423.50/x
  3. Step 3: Cross multiply
    106,620,375x = 163,810,423.50 × 163,810,423.50
  4. Step 4: Simplify right side
    106,620,375x = 26,833,854,847,249,352
  5. Step 5: Solve for x
    x = 26,833,854,847,249,352/106,620,375
  6. Step 6: Final answer
    x = 251,676,612.91

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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.