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Finding the Third Proportional to 55,855,710 and 86,706,517.50

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Solution

The third proportional to 55,855,710 and 86,706,517.50 is: 134,597,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855,710 : 86,706,517.50 = 86,706,517.50 : x
  2. Step 2: Convert to fraction form
    55,855,710/86,706,517.50 = 86,706,517.50/x
  3. Step 3: Cross multiply
    55,855,710x = 86,706,517.50 × 86,706,517.50
  4. Step 4: Simplify right side
    55,855,710x = 7,518,020,176,977,806
  5. Step 5: Solve for x
    x = 7,518,020,176,977,806/55,855,710
  6. Step 6: Final answer
    x = 134,597,164.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.