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Finding the Third Proportional to 238,164,540 and 510,789,112

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Solution

The third proportional to 238,164,540 and 510,789,112 is: 1,095,484,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,164,540 : 510,789,112 = 510,789,112 : x
  2. Step 2: Convert to fraction form
    238,164,540/510,789,112 = 510,789,112/x
  3. Step 3: Cross multiply
    238,164,540x = 510,789,112 × 510,789,112
  4. Step 4: Simplify right side
    238,164,540x = 260,905,516,937,748,544
  5. Step 5: Solve for x
    x = 260,905,516,937,748,544/238,164,540
  6. Step 6: Final answer
    x = 1,095,484,310.71

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