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Finding the Third Proportional to 64,559,000 and 138,328,176

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Solution

The third proportional to 64,559,000 and 138,328,176 is: 296,390,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,559,000 : 138,328,176 = 138,328,176 : x
  2. Step 2: Convert to fraction form
    64,559,000/138,328,176 = 138,328,176/x
  3. Step 3: Cross multiply
    64,559,000x = 138,328,176 × 138,328,176
  4. Step 4: Simplify right side
    64,559,000x = 19,134,684,275,486,976
  5. Step 5: Solve for x
    x = 19,134,684,275,486,976/64,559,000
  6. Step 6: Final answer
    x = 296,390,654.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.