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Finding the Third Proportional to 140,713,929.56 and 212,178,258.84

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Solution

The third proportional to 140,713,929.56 and 212,178,258.84 is: 319,937,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,713,929.56 : 212,178,258.84 = 212,178,258.84 : x
  2. Step 2: Convert to fraction form
    140,713,929.56/212,178,258.84 = 212,178,258.84/x
  3. Step 3: Cross multiply
    140,713,929.56x = 212,178,258.84 × 212,178,258.84
  4. Step 4: Simplify right side
    140,713,929.56x = 45,019,613,525,965,376
  5. Step 5: Solve for x
    x = 45,019,613,525,965,376/140,713,929.56
  6. Step 6: Final answer
    x = 319,937,149.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.