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Finding the Third Proportional to 70,905,101 and 154,233,514

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Solution

The third proportional to 70,905,101 and 154,233,514 is: 335,490,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905,101 : 154,233,514 = 154,233,514 : x
  2. Step 2: Convert to fraction form
    70,905,101/154,233,514 = 154,233,514/x
  3. Step 3: Cross multiply
    70,905,101x = 154,233,514 × 154,233,514
  4. Step 4: Simplify right side
    70,905,101x = 23,787,976,840,788,196
  5. Step 5: Solve for x
    x = 23,787,976,840,788,196/70,905,101
  6. Step 6: Final answer
    x = 335,490,345.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.