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Finding the Third Proportional to 258,314,072.63 and 398,890,686.38

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Solution

The third proportional to 258,314,072.63 and 398,890,686.38 is: 615,970,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,314,072.63 : 398,890,686.38 = 398,890,686.38 : x
  2. Step 2: Convert to fraction form
    258,314,072.63/398,890,686.38 = 398,890,686.38/x
  3. Step 3: Cross multiply
    258,314,072.63x = 398,890,686.38 × 398,890,686.38
  4. Step 4: Simplify right side
    258,314,072.63x = 159,113,779,676,718,624
  5. Step 5: Solve for x
    x = 159,113,779,676,718,624/258,314,072.63
  6. Step 6: Final answer
    x = 615,970,233.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.