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Finding the Third Proportional to 170,912,213,060 and 251,248,535,070

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Solution

The third proportional to 170,912,213,060 and 251,248,535,070 is: 369,346,492,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912,213,060 : 251,248,535,070 = 251,248,535,070 : x
  2. Step 2: Convert to fraction form
    170,912,213,060/251,248,535,070 = 251,248,535,070/x
  3. Step 3: Cross multiply
    170,912,213,060x = 251,248,535,070 × 251,248,535,070
  4. Step 4: Simplify right side
    170,912,213,060x = 63,125,826,374,821,021,220,864
  5. Step 5: Solve for x
    x = 63,125,826,374,821,021,220,864/170,912,213,060
  6. Step 6: Final answer
    x = 369,346,492,240.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.