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Finding the Third Proportional to 202,926,523.50 and 434,550,829.50

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Solution

The third proportional to 202,926,523.50 and 434,550,829.50 is: 930,555,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,926,523.50 : 434,550,829.50 = 434,550,829.50 : x
  2. Step 2: Convert to fraction form
    202,926,523.50/434,550,829.50 = 434,550,829.50/x
  3. Step 3: Cross multiply
    202,926,523.50x = 434,550,829.50 × 434,550,829.50
  4. Step 4: Simplify right side
    202,926,523.50x = 188,834,423,419,138,080
  5. Step 5: Solve for x
    x = 188,834,423,419,138,080/202,926,523.50
  6. Step 6: Final answer
    x = 930,555,652.17

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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.