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Finding the Third Proportional to 229,863,548 and 510,745,432

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Solution

The third proportional to 229,863,548 and 510,745,432 is: 1,134,851,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,548 : 510,745,432 = 510,745,432 : x
  2. Step 2: Convert to fraction form
    229,863,548/510,745,432 = 510,745,432/x
  3. Step 3: Cross multiply
    229,863,548x = 510,745,432 × 510,745,432
  4. Step 4: Simplify right side
    229,863,548x = 260,860,896,308,866,624
  5. Step 5: Solve for x
    x = 260,860,896,308,866,624/229,863,548
  6. Step 6: Final answer
    x = 1,134,851,082.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.