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Finding the Third Proportional to 169,693,447,706 and 255,248,641,623

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Solution

The third proportional to 169,693,447,706 and 255,248,641,623 is: 383,938,625,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,693,447,706 : 255,248,641,623 = 255,248,641,623 : x
  2. Step 2: Convert to fraction form
    169,693,447,706/255,248,641,623 = 255,248,641,623/x
  3. Step 3: Cross multiply
    169,693,447,706x = 255,248,641,623 × 255,248,641,623
  4. Step 4: Simplify right side
    169,693,447,706x = 65,151,869,050,386,686,935,040
  5. Step 5: Solve for x
    x = 65,151,869,050,386,686,935,040/169,693,447,706
  6. Step 6: Final answer
    x = 383,938,625,392.68

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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.