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Finding the Third Proportional to 136,974,312 and 285,286,032

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Solution

The third proportional to 136,974,312 and 285,286,032 is: 594,185,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,974,312 : 285,286,032 = 285,286,032 : x
  2. Step 2: Convert to fraction form
    136,974,312/285,286,032 = 285,286,032/x
  3. Step 3: Cross multiply
    136,974,312x = 285,286,032 × 285,286,032
  4. Step 4: Simplify right side
    136,974,312x = 81,388,120,054,305,024
  5. Step 5: Solve for x
    x = 81,388,120,054,305,024/136,974,312
  6. Step 6: Final answer
    x = 594,185,280.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.