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Finding the Third Proportional to 130,870,489.50 and 283,551,840

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Solution

The third proportional to 130,870,489.50 and 283,551,840 is: 614,360,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,870,489.50 : 283,551,840 = 283,551,840 : x
  2. Step 2: Convert to fraction form
    130,870,489.50/283,551,840 = 283,551,840/x
  3. Step 3: Cross multiply
    130,870,489.50x = 283,551,840 × 283,551,840
  4. Step 4: Simplify right side
    130,870,489.50x = 80,401,645,967,385,600
  5. Step 5: Solve for x
    x = 80,401,645,967,385,600/130,870,489.50
  6. Step 6: Final answer
    x = 614,360,397.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.