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Finding the Third Proportional to 124,930,710 and 194,511,705

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Solution

The third proportional to 124,930,710 and 194,511,705 is: 302,846,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,930,710 : 194,511,705 = 194,511,705 : x
  2. Step 2: Convert to fraction form
    124,930,710/194,511,705 = 194,511,705/x
  3. Step 3: Cross multiply
    124,930,710x = 194,511,705 × 194,511,705
  4. Step 4: Simplify right side
    124,930,710x = 37,834,803,382,007,024
  5. Step 5: Solve for x
    x = 37,834,803,382,007,024/124,930,710
  6. Step 6: Final answer
    x = 302,846,300.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.