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Finding the Third Proportional to 122,898,238.14 and 263,326,219.10

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Solution

The third proportional to 122,898,238.14 and 263,326,219.10 is: 564,212,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898,238.14 : 263,326,219.10 = 263,326,219.10 : x
  2. Step 2: Convert to fraction form
    122,898,238.14/263,326,219.10 = 263,326,219.10/x
  3. Step 3: Cross multiply
    122,898,238.14x = 263,326,219.10 × 263,326,219.10
  4. Step 4: Simplify right side
    122,898,238.14x = 69,340,697,666,317,520
  5. Step 5: Solve for x
    x = 69,340,697,666,317,520/122,898,238.14
  6. Step 6: Final answer
    x = 564,212,300.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.