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Finding the Third Proportional to 129,437,948 and 277,299,184

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Solution

The third proportional to 129,437,948 and 277,299,184 is: 594,067,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,437,948 : 277,299,184 = 277,299,184 : x
  2. Step 2: Convert to fraction form
    129,437,948/277,299,184 = 277,299,184/x
  3. Step 3: Cross multiply
    129,437,948x = 277,299,184 × 277,299,184
  4. Step 4: Simplify right side
    129,437,948x = 76,894,837,447,065,856
  5. Step 5: Solve for x
    x = 76,894,837,447,065,856/129,437,948
  6. Step 6: Final answer
    x = 594,067,185.36

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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.