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Finding the Third Proportional to 130,946,342 and 182,070,420

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Solution

The third proportional to 130,946,342 and 182,070,420 is: 253,154,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,946,342 : 182,070,420 = 182,070,420 : x
  2. Step 2: Convert to fraction form
    130,946,342/182,070,420 = 182,070,420/x
  3. Step 3: Cross multiply
    130,946,342x = 182,070,420 × 182,070,420
  4. Step 4: Simplify right side
    130,946,342x = 33,149,637,838,976,400
  5. Step 5: Solve for x
    x = 33,149,637,838,976,400/130,946,342
  6. Step 6: Final answer
    x = 253,154,363.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.