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Finding the Third Proportional to 55,970,266.50 and 121,108,438.50

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Solution

The third proportional to 55,970,266.50 and 121,108,438.50 is: 262,054,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970,266.50 : 121,108,438.50 = 121,108,438.50 : x
  2. Step 2: Convert to fraction form
    55,970,266.50/121,108,438.50 = 121,108,438.50/x
  3. Step 3: Cross multiply
    55,970,266.50x = 121,108,438.50 × 121,108,438.50
  4. Step 4: Simplify right side
    55,970,266.50x = 14,667,253,875,908,282
  5. Step 5: Solve for x
    x = 14,667,253,875,908,282/55,970,266.50
  6. Step 6: Final answer
    x = 262,054,386.96

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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.