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Finding the Third Proportional to 214,898,710.50 and 340,830,402.75

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Solution

The third proportional to 214,898,710.50 and 340,830,402.75 is: 540,558,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,898,710.50 : 340,830,402.75 = 340,830,402.75 : x
  2. Step 2: Convert to fraction form
    214,898,710.50/340,830,402.75 = 340,830,402.75/x
  3. Step 3: Cross multiply
    214,898,710.50x = 340,830,402.75 × 340,830,402.75
  4. Step 4: Simplify right side
    214,898,710.50x = 116,165,363,438,727,200
  5. Step 5: Solve for x
    x = 116,165,363,438,727,200/214,898,710.50
  6. Step 6: Final answer
    x = 540,558,680.73

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Why These Related Problems?

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