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Finding the Third Proportional to 141,875,551 and 213,828,115

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Solution

The third proportional to 141,875,551 and 213,828,115 is: 322,271,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875,551 : 213,828,115 = 213,828,115 : x
  2. Step 2: Convert to fraction form
    141,875,551/213,828,115 = 213,828,115/x
  3. Step 3: Cross multiply
    141,875,551x = 213,828,115 × 213,828,115
  4. Step 4: Simplify right side
    141,875,551x = 45,722,462,764,453,224
  5. Step 5: Solve for x
    x = 45,722,462,764,453,224/141,875,551
  6. Step 6: Final answer
    x = 322,271,613.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.