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Finding the Third Proportional to 210,956,986.30 and 454,315,112.30

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Solution

The third proportional to 210,956,986.30 and 454,315,112.30 is: 978,409,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,956,986.30 : 454,315,112.30 = 454,315,112.30 : x
  2. Step 2: Convert to fraction form
    210,956,986.30/454,315,112.30 = 454,315,112.30/x
  3. Step 3: Cross multiply
    210,956,986.30x = 454,315,112.30 × 454,315,112.30
  4. Step 4: Simplify right side
    210,956,986.30x = 206,402,221,261,326,688
  5. Step 5: Solve for x
    x = 206,402,221,261,326,688/210,956,986.30
  6. Step 6: Final answer
    x = 978,409,034.38

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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.