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Finding the Third Proportional to 51,838,510.50 and 111,370,023

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Solution

The third proportional to 51,838,510.50 and 111,370,023 is: 239,267,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838,510.50 : 111,370,023 = 111,370,023 : x
  2. Step 2: Convert to fraction form
    51,838,510.50/111,370,023 = 111,370,023/x
  3. Step 3: Cross multiply
    51,838,510.50x = 111,370,023 × 111,370,023
  4. Step 4: Simplify right side
    51,838,510.50x = 12,403,282,023,020,528
  5. Step 5: Solve for x
    x = 12,403,282,023,020,528/51,838,510.50
  6. Step 6: Final answer
    x = 239,267,716.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.