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Finding the Third Proportional to 105,762,267 and 224,221,878

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Solution

The third proportional to 105,762,267 and 224,221,878 is: 475,362,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762,267 : 224,221,878 = 224,221,878 : x
  2. Step 2: Convert to fraction form
    105,762,267/224,221,878 = 224,221,878/x
  3. Step 3: Cross multiply
    105,762,267x = 224,221,878 × 224,221,878
  4. Step 4: Simplify right side
    105,762,267x = 50,275,450,573,846,880
  5. Step 5: Solve for x
    x = 50,275,450,573,846,880/105,762,267
  6. Step 6: Final answer
    x = 475,362,830.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.