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Finding the Third Proportional to 122,898,353.50 and 263,326,457

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Solution

The third proportional to 122,898,353.50 and 263,326,457 is: 564,212,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898,353.50 : 263,326,457 = 263,326,457 : x
  2. Step 2: Convert to fraction form
    122,898,353.50/263,326,457 = 263,326,457/x
  3. Step 3: Cross multiply
    122,898,353.50x = 263,326,457 × 263,326,457
  4. Step 4: Simplify right side
    122,898,353.50x = 69,340,822,956,172,848
  5. Step 5: Solve for x
    x = 69,340,822,956,172,848/122,898,353.50
  6. Step 6: Final answer
    x = 564,212,790.34

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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.