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Finding the Third Proportional to 229,733,532 and 491,759,532

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Solution

The third proportional to 229,733,532 and 491,759,532 is: 1,052,643,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,733,532 : 491,759,532 = 491,759,532 : x
  2. Step 2: Convert to fraction form
    229,733,532/491,759,532 = 491,759,532/x
  3. Step 3: Cross multiply
    229,733,532x = 491,759,532 × 491,759,532
  4. Step 4: Simplify right side
    229,733,532x = 241,827,437,312,859,008
  5. Step 5: Solve for x
    x = 241,827,437,312,859,008/229,733,532
  6. Step 6: Final answer
    x = 1,052,643,187.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.