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Finding the Third Proportional to 121,127,238 and 266,467,117.50

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Solution

The third proportional to 121,127,238 and 266,467,117.50 is: 586,199,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,127,238 : 266,467,117.50 = 266,467,117.50 : x
  2. Step 2: Convert to fraction form
    121,127,238/266,467,117.50 = 266,467,117.50/x
  3. Step 3: Cross multiply
    121,127,238x = 266,467,117.50 × 266,467,117.50
  4. Step 4: Simplify right side
    121,127,238x = 71,004,724,708,758,808
  5. Step 5: Solve for x
    x = 71,004,724,708,758,808/121,127,238
  6. Step 6: Final answer
    x = 586,199,486.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.