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Finding the Third Proportional to 62,692,163 and 96,833,214

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Solution

The third proportional to 62,692,163 and 96,833,214 is: 149,566,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,692,163 : 96,833,214 = 96,833,214 : x
  2. Step 2: Convert to fraction form
    62,692,163/96,833,214 = 96,833,214/x
  3. Step 3: Cross multiply
    62,692,163x = 96,833,214 × 96,833,214
  4. Step 4: Simplify right side
    62,692,163x = 9,376,671,333,569,796
  5. Step 5: Solve for x
    x = 9,376,671,333,569,796/62,692,163
  6. Step 6: Final answer
    x = 149,566,881.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.