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Finding the Third Proportional to 240,095,022.50 and 535,395,670

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Solution

The third proportional to 240,095,022.50 and 535,395,670 is: 1,193,896,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,095,022.50 : 535,395,670 = 535,395,670 : x
  2. Step 2: Convert to fraction form
    240,095,022.50/535,395,670 = 535,395,670/x
  3. Step 3: Cross multiply
    240,095,022.50x = 535,395,670 × 535,395,670
  4. Step 4: Simplify right side
    240,095,022.50x = 286,648,523,454,748,896
  5. Step 5: Solve for x
    x = 286,648,523,454,748,896/240,095,022.50
  6. Step 6: Final answer
    x = 1,193,896,151.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.