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Finding the Third Proportional to 145,434,259 and 231,526,543.50

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Solution

The third proportional to 145,434,259 and 231,526,543.50 is: 368,582,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,434,259 : 231,526,543.50 = 231,526,543.50 : x
  2. Step 2: Convert to fraction form
    145,434,259/231,526,543.50 = 231,526,543.50/x
  3. Step 3: Cross multiply
    145,434,259x = 231,526,543.50 × 231,526,543.50
  4. Step 4: Simplify right side
    145,434,259x = 53,604,540,345,057,392
  5. Step 5: Solve for x
    x = 53,604,540,345,057,392/145,434,259
  6. Step 6: Final answer
    x = 368,582,620.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.