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Finding the Third Proportional to 106,378,521.75 and 232,935,034.50

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Solution

The third proportional to 106,378,521.75 and 232,935,034.50 is: 510,053,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378,521.75 : 232,935,034.50 = 232,935,034.50 : x
  2. Step 2: Convert to fraction form
    106,378,521.75/232,935,034.50 = 232,935,034.50/x
  3. Step 3: Cross multiply
    106,378,521.75x = 232,935,034.50 × 232,935,034.50
  4. Step 4: Simplify right side
    106,378,521.75x = 54,258,730,297,516,192
  5. Step 5: Solve for x
    x = 54,258,730,297,516,192/106,378,521.75
  6. Step 6: Final answer
    x = 510,053,433.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.