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Finding the Third Proportional to 52,928,700.75 and 114,653,920.50

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Solution

The third proportional to 52,928,700.75 and 114,653,920.50 is: 248,362,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928,700.75 : 114,653,920.50 = 114,653,920.50 : x
  2. Step 2: Convert to fraction form
    52,928,700.75/114,653,920.50 = 114,653,920.50/x
  3. Step 3: Cross multiply
    52,928,700.75x = 114,653,920.50 × 114,653,920.50
  4. Step 4: Simplify right side
    52,928,700.75x = 13,145,521,486,020,320
  5. Step 5: Solve for x
    x = 13,145,521,486,020,320/52,928,700.75
  6. Step 6: Final answer
    x = 248,362,822.06

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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.