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Finding the Third Proportional to 51,232,023 and 110,644,177.50

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Solution

The third proportional to 51,232,023 and 110,644,177.50 is: 238,954,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,023 : 110,644,177.50 = 110,644,177.50 : x
  2. Step 2: Convert to fraction form
    51,232,023/110,644,177.50 = 110,644,177.50/x
  3. Step 3: Cross multiply
    51,232,023x = 110,644,177.50 × 110,644,177.50
  4. Step 4: Simplify right side
    51,232,023x = 12,242,134,014,651,506
  5. Step 5: Solve for x
    x = 12,242,134,014,651,506/51,232,023
  6. Step 6: Final answer
    x = 238,954,725.93

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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.