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Finding the Third Proportional to 106,520,215.50 and 229,495,459.50

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Solution

The third proportional to 106,520,215.50 and 229,495,459.50 is: 494,442,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520,215.50 : 229,495,459.50 = 229,495,459.50 : x
  2. Step 2: Convert to fraction form
    106,520,215.50/229,495,459.50 = 229,495,459.50/x
  3. Step 3: Cross multiply
    106,520,215.50x = 229,495,459.50 × 229,495,459.50
  4. Step 4: Simplify right side
    106,520,215.50x = 52,668,165,931,116,144
  5. Step 5: Solve for x
    x = 52,668,165,931,116,144/106,520,215.50
  6. Step 6: Final answer
    x = 494,442,915.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.