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Finding the Third Proportional to 169,693,447,712 and 255,248,641,632

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Solution

The third proportional to 169,693,447,712 and 255,248,641,632 is: 383,938,625,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,693,447,712 : 255,248,641,632 = 255,248,641,632 : x
  2. Step 2: Convert to fraction form
    169,693,447,712/255,248,641,632 = 255,248,641,632/x
  3. Step 3: Cross multiply
    169,693,447,712x = 255,248,641,632 × 255,248,641,632
  4. Step 4: Simplify right side
    169,693,447,712x = 65,151,869,054,981,161,091,072
  5. Step 5: Solve for x
    x = 65,151,869,054,981,161,091,072/169,693,447,712
  6. Step 6: Final answer
    x = 383,938,625,406.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.