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Finding the Third Proportional to 109,460,340 and 237,973,320

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Solution

The third proportional to 109,460,340 and 237,973,320 is: 517,368,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460,340 : 237,973,320 = 237,973,320 : x
  2. Step 2: Convert to fraction form
    109,460,340/237,973,320 = 237,973,320/x
  3. Step 3: Cross multiply
    109,460,340x = 237,973,320 × 237,973,320
  4. Step 4: Simplify right side
    109,460,340x = 56,631,301,031,822,400
  5. Step 5: Solve for x
    x = 56,631,301,031,822,400/109,460,340
  6. Step 6: Final answer
    x = 517,368,217.86

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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.