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Finding the Third Proportional to 106,750,880 and 216,472,228

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Solution

The third proportional to 106,750,880 and 216,472,228 is: 438,968,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750,880 : 216,472,228 = 216,472,228 : x
  2. Step 2: Convert to fraction form
    106,750,880/216,472,228 = 216,472,228/x
  3. Step 3: Cross multiply
    106,750,880x = 216,472,228 × 216,472,228
  4. Step 4: Simplify right side
    106,750,880x = 46,860,225,495,283,984
  5. Step 5: Solve for x
    x = 46,860,225,495,283,984/106,750,880
  6. Step 6: Final answer
    x = 438,968,048.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.