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Finding the Third Proportional to 140,778,966.94 and 206,128,782.28

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Solution

The third proportional to 140,778,966.94 and 206,128,782.28 is: 301,814,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778,966.94 : 206,128,782.28 = 206,128,782.28 : x
  2. Step 2: Convert to fraction form
    140,778,966.94/206,128,782.28 = 206,128,782.28/x
  3. Step 3: Cross multiply
    140,778,966.94x = 206,128,782.28 × 206,128,782.28
  4. Step 4: Simplify right side
    140,778,966.94x = 42,489,074,884,750,960
  5. Step 5: Solve for x
    x = 42,489,074,884,750,960/140,778,966.94
  6. Step 6: Final answer
    x = 301,814,083.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.