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Finding the Third Proportional to 119,159,768.25 and 257,130,277.88

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Solution

The third proportional to 119,159,768.25 and 257,130,277.88 is: 554,851,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159,768.25 : 257,130,277.88 = 257,130,277.88 : x
  2. Step 2: Convert to fraction form
    119,159,768.25/257,130,277.88 = 257,130,277.88/x
  3. Step 3: Cross multiply
    119,159,768.25x = 257,130,277.88 × 257,130,277.88
  4. Step 4: Simplify right side
    119,159,768.25x = 66,115,979,800,074,712
  5. Step 5: Solve for x
    x = 66,115,979,800,074,712/119,159,768.25
  6. Step 6: Final answer
    x = 554,851,530.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.