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Finding the Third Proportional to 110,009,206.50 and 233,132,149.50

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Solution

The third proportional to 110,009,206.50 and 233,132,149.50 is: 494,055,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,206.50 : 233,132,149.50 = 233,132,149.50 : x
  2. Step 2: Convert to fraction form
    110,009,206.50/233,132,149.50 = 233,132,149.50/x
  3. Step 3: Cross multiply
    110,009,206.50x = 233,132,149.50 × 233,132,149.50
  4. Step 4: Simplify right side
    110,009,206.50x = 54,350,599,130,490,352
  5. Step 5: Solve for x
    x = 54,350,599,130,490,352/110,009,206.50
  6. Step 6: Final answer
    x = 494,055,005.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.