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Finding the Third Proportional to 51,255,868.50 and 110,566,822.50

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Solution

The third proportional to 51,255,868.50 and 110,566,822.50 is: 238,509,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255,868.50 : 110,566,822.50 = 110,566,822.50 : x
  2. Step 2: Convert to fraction form
    51,255,868.50/110,566,822.50 = 110,566,822.50/x
  3. Step 3: Cross multiply
    51,255,868.50x = 110,566,822.50 × 110,566,822.50
  4. Step 4: Simplify right side
    51,255,868.50x = 12,225,022,237,746,506
  5. Step 5: Solve for x
    x = 12,225,022,237,746,506/51,255,868.50
  6. Step 6: Final answer
    x = 238,509,708.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.