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Finding the Third Proportional to 120,048,549 and 258,297,312

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Solution

The third proportional to 120,048,549 and 258,297,312 is: 555,754,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048,549 : 258,297,312 = 258,297,312 : x
  2. Step 2: Convert to fraction form
    120,048,549/258,297,312 = 258,297,312/x
  3. Step 3: Cross multiply
    120,048,549x = 258,297,312 × 258,297,312
  4. Step 4: Simplify right side
    120,048,549x = 66,717,501,386,425,344
  5. Step 5: Solve for x
    x = 66,717,501,386,425,344/120,048,549
  6. Step 6: Final answer
    x = 555,754,333.91

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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.