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Finding the Third Proportional to 170,567,908.50 and 262,013,170.88

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Solution

The third proportional to 170,567,908.50 and 262,013,170.88 is: 402,484,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,567,908.50 : 262,013,170.88 = 262,013,170.88 : x
  2. Step 2: Convert to fraction form
    170,567,908.50/262,013,170.88 = 262,013,170.88/x
  3. Step 3: Cross multiply
    170,567,908.50x = 262,013,170.88 × 262,013,170.88
  4. Step 4: Simplify right side
    170,567,908.50x = 68,650,901,711,971,952
  5. Step 5: Solve for x
    x = 68,650,901,711,971,952/170,567,908.50
  6. Step 6: Final answer
    x = 402,484,279.23

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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.