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Finding the Third Proportional to 214,898,713.50 and 340,830,408

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Solution

The third proportional to 214,898,713.50 and 340,830,408 is: 540,558,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,898,713.50 : 340,830,408 = 340,830,408 : x
  2. Step 2: Convert to fraction form
    214,898,713.50/340,830,408 = 340,830,408/x
  3. Step 3: Cross multiply
    214,898,713.50x = 340,830,408 × 340,830,408
  4. Step 4: Simplify right side
    214,898,713.50x = 116,165,367,017,446,464
  5. Step 5: Solve for x
    x = 116,165,367,017,446,464/214,898,713.50
  6. Step 6: Final answer
    x = 540,558,689.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.