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Finding the Third Proportional to 162,132,158,567 and 337,683,896,750

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Solution

The third proportional to 162,132,158,567 and 337,683,896,750 is: 703,317,683,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,132,158,567 : 337,683,896,750 = 337,683,896,750 : x
  2. Step 2: Convert to fraction form
    162,132,158,567/337,683,896,750 = 337,683,896,750/x
  3. Step 3: Cross multiply
    162,132,158,567x = 337,683,896,750 × 337,683,896,750
  4. Step 4: Simplify right side
    162,132,158,567x = 114,030,414,124,264,661,712,896
  5. Step 5: Solve for x
    x = 114,030,414,124,264,661,712,896/162,132,158,567
  6. Step 6: Final answer
    x = 703,317,683,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.