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Finding the Third Proportional to 129,475,132 and 277,371,964

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Solution

The third proportional to 129,475,132 and 277,371,964 is: 594,208,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,475,132 : 277,371,964 = 277,371,964 : x
  2. Step 2: Convert to fraction form
    129,475,132/277,371,964 = 277,371,964/x
  3. Step 3: Cross multiply
    129,475,132x = 277,371,964 × 277,371,964
  4. Step 4: Simplify right side
    129,475,132x = 76,935,206,413,217,296
  5. Step 5: Solve for x
    x = 76,935,206,413,217,296/129,475,132
  6. Step 6: Final answer
    x = 594,208,364.38

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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.