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Finding the Third Proportional to 122,760,256.85 and 265,953,278.81

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Solution

The third proportional to 122,760,256.85 and 265,953,278.81 is: 576,173,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760,256.85 : 265,953,278.81 = 265,953,278.81 : x
  2. Step 2: Convert to fraction form
    122,760,256.85/265,953,278.81 = 265,953,278.81/x
  3. Step 3: Cross multiply
    122,760,256.85x = 265,953,278.81 × 265,953,278.81
  4. Step 4: Simplify right side
    122,760,256.85x = 70,731,146,511,119,360
  5. Step 5: Solve for x
    x = 70,731,146,511,119,360/122,760,256.85
  6. Step 6: Final answer
    x = 576,173,008.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.