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Finding the Third Proportional to 159,726,735 and 245,359,822.50

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Solution

The third proportional to 159,726,735 and 245,359,822.50 is: 376,902,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,726,735 : 245,359,822.50 = 245,359,822.50 : x
  2. Step 2: Convert to fraction form
    159,726,735/245,359,822.50 = 245,359,822.50/x
  3. Step 3: Cross multiply
    159,726,735x = 245,359,822.50 × 245,359,822.50
  4. Step 4: Simplify right side
    159,726,735x = 60,201,442,497,231,504
  5. Step 5: Solve for x
    x = 60,201,442,497,231,504/159,726,735
  6. Step 6: Final answer
    x = 376,902,730.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.