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Finding the Third Proportional to 108,265,068 and 233,431,416

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Solution

The third proportional to 108,265,068 and 233,431,416 is: 503,303,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,265,068 : 233,431,416 = 233,431,416 : x
  2. Step 2: Convert to fraction form
    108,265,068/233,431,416 = 233,431,416/x
  3. Step 3: Cross multiply
    108,265,068x = 233,431,416 × 233,431,416
  4. Step 4: Simplify right side
    108,265,068x = 54,490,225,975,765,056
  5. Step 5: Solve for x
    x = 54,490,225,975,765,056/108,265,068
  6. Step 6: Final answer
    x = 503,303,853.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.