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Finding the Third Proportional to 281,658,444.75 and 430,852,304.25

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Solution

The third proportional to 281,658,444.75 and 430,852,304.25 is: 659,073,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,658,444.75 : 430,852,304.25 = 430,852,304.25 : x
  2. Step 2: Convert to fraction form
    281,658,444.75/430,852,304.25 = 430,852,304.25/x
  3. Step 3: Cross multiply
    281,658,444.75x = 430,852,304.25 × 430,852,304.25
  4. Step 4: Simplify right side
    281,658,444.75x = 185,633,708,077,534,560
  5. Step 5: Solve for x
    x = 185,633,708,077,534,560/281,658,444.75
  6. Step 6: Final answer
    x = 659,073,823.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.