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Finding the Third Proportional to 243,090,855 and 533,429,088

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Solution

The third proportional to 243,090,855 and 533,429,088 is: 1,170,535,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,090,855 : 533,429,088 = 533,429,088 : x
  2. Step 2: Convert to fraction form
    243,090,855/533,429,088 = 533,429,088/x
  3. Step 3: Cross multiply
    243,090,855x = 533,429,088 × 533,429,088
  4. Step 4: Simplify right side
    243,090,855x = 284,546,591,924,511,744
  5. Step 5: Solve for x
    x = 284,546,591,924,511,744/243,090,855
  6. Step 6: Final answer
    x = 1,170,535,978.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.