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Finding the Third Proportional to 109,765,747 and 238,662,641

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Solution

The third proportional to 109,765,747 and 238,662,641 is: 518,921,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,747 : 238,662,641 = 238,662,641 : x
  2. Step 2: Convert to fraction form
    109,765,747/238,662,641 = 238,662,641/x
  3. Step 3: Cross multiply
    109,765,747x = 238,662,641 × 238,662,641
  4. Step 4: Simplify right side
    109,765,747x = 56,959,856,209,094,880
  5. Step 5: Solve for x
    x = 56,959,856,209,094,880/109,765,747
  6. Step 6: Final answer
    x = 518,921,956.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.