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Finding the Third Proportional to 118,145,878,534 and 254,210,761,184

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Solution

The third proportional to 118,145,878,534 and 254,210,761,184 is: 546,977,278,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,145,878,534 : 254,210,761,184 = 254,210,761,184 : x
  2. Step 2: Convert to fraction form
    118,145,878,534/254,210,761,184 = 254,210,761,184/x
  3. Step 3: Cross multiply
    118,145,878,534x = 254,210,761,184 × 254,210,761,184
  4. Step 4: Simplify right side
    118,145,878,534x = 64,623,111,101,748,682,424,320
  5. Step 5: Solve for x
    x = 64,623,111,101,748,682,424,320/118,145,878,534
  6. Step 6: Final answer
    x = 546,977,278,459.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.