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Finding the Third Proportional to 229,700,403 and 353,065,686.75

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Solution

The third proportional to 229,700,403 and 353,065,686.75 is: 542,686,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700,403 : 353,065,686.75 = 353,065,686.75 : x
  2. Step 2: Convert to fraction form
    229,700,403/353,065,686.75 = 353,065,686.75/x
  3. Step 3: Cross multiply
    229,700,403x = 353,065,686.75 × 353,065,686.75
  4. Step 4: Simplify right side
    229,700,403x = 124,655,379,160,249,120
  5. Step 5: Solve for x
    x = 124,655,379,160,249,120/229,700,403
  6. Step 6: Final answer
    x = 542,686,810.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.