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Finding the Third Proportional to 243,218,064 and 535,079,264

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Solution

The third proportional to 243,218,064 and 535,079,264 is: 1,177,173,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,218,064 : 535,079,264 = 535,079,264 : x
  2. Step 2: Convert to fraction form
    243,218,064/535,079,264 = 535,079,264/x
  3. Step 3: Cross multiply
    243,218,064x = 535,079,264 × 535,079,264
  4. Step 4: Simplify right side
    243,218,064x = 286,309,818,762,781,696
  5. Step 5: Solve for x
    x = 286,309,818,762,781,696/243,218,064
  6. Step 6: Final answer
    x = 1,177,173,331.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.