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Finding the Third Proportional to 208,154,704,064 and 280,849,565,632

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Solution

The third proportional to 208,154,704,064 and 280,849,565,632 is: 378,932,000,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,154,704,064 : 280,849,565,632 = 280,849,565,632 : x
  2. Step 2: Convert to fraction form
    208,154,704,064/280,849,565,632 = 280,849,565,632/x
  3. Step 3: Cross multiply
    208,154,704,064x = 280,849,565,632 × 280,849,565,632
  4. Step 4: Simplify right side
    208,154,704,064x = 78,876,478,515,683,073,720,320
  5. Step 5: Solve for x
    x = 78,876,478,515,683,073,720,320/208,154,704,064
  6. Step 6: Final answer
    x = 378,932,000,938.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.