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Finding the Third Proportional to 231,484,170,069 and 498,437,775,360

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Solution

The third proportional to 231,484,170,069 and 498,437,775,360 is: 1,073,249,267,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,484,170,069 : 498,437,775,360 = 498,437,775,360 : x
  2. Step 2: Convert to fraction form
    231,484,170,069/498,437,775,360 = 498,437,775,360/x
  3. Step 3: Cross multiply
    231,484,170,069x = 498,437,775,360 × 498,437,775,360
  4. Step 4: Simplify right side
    231,484,170,069x = 248,440,215,905,825,823,129,600
  5. Step 5: Solve for x
    x = 248,440,215,905,825,823,129,600/231,484,170,069
  6. Step 6: Final answer
    x = 1,073,249,267,246.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.