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Finding the Third Proportional to 146,358,421.25 and 319,536,693

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Solution

The third proportional to 146,358,421.25 and 319,536,693 is: 697,627,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,358,421.25 : 319,536,693 = 319,536,693 : x
  2. Step 2: Convert to fraction form
    146,358,421.25/319,536,693 = 319,536,693/x
  3. Step 3: Cross multiply
    146,358,421.25x = 319,536,693 × 319,536,693
  4. Step 4: Simplify right side
    146,358,421.25x = 102,103,698,173,376,256
  5. Step 5: Solve for x
    x = 102,103,698,173,376,256/146,358,421.25
  6. Step 6: Final answer
    x = 697,627,764.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.