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Finding the Third Proportional to 137,842,016 and 213,409,776

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Solution

The third proportional to 137,842,016 and 213,409,776 is: 330,405,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,842,016 : 213,409,776 = 213,409,776 : x
  2. Step 2: Convert to fraction form
    137,842,016/213,409,776 = 213,409,776/x
  3. Step 3: Cross multiply
    137,842,016x = 213,409,776 × 213,409,776
  4. Step 4: Simplify right side
    137,842,016x = 45,543,732,492,370,176
  5. Step 5: Solve for x
    x = 45,543,732,492,370,176/137,842,016
  6. Step 6: Final answer
    x = 330,405,298.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.