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Finding the Third Proportional to 146,927,713.50 and 212,394,951

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Solution

The third proportional to 146,927,713.50 and 212,394,951 is: 307,032,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,927,713.50 : 212,394,951 = 212,394,951 : x
  2. Step 2: Convert to fraction form
    146,927,713.50/212,394,951 = 212,394,951/x
  3. Step 3: Cross multiply
    146,927,713.50x = 212,394,951 × 212,394,951
  4. Step 4: Simplify right side
    146,927,713.50x = 45,111,615,210,292,400
  5. Step 5: Solve for x
    x = 45,111,615,210,292,400/146,927,713.50
  6. Step 6: Final answer
    x = 307,032,717.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.