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Finding the Third Proportional to 277,220,308.50 and 414,966,865.50

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Solution

The third proportional to 277,220,308.50 and 414,966,865.50 is: 621,157,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,220,308.50 : 414,966,865.50 = 414,966,865.50 : x
  2. Step 2: Convert to fraction form
    277,220,308.50/414,966,865.50 = 414,966,865.50/x
  3. Step 3: Cross multiply
    277,220,308.50x = 414,966,865.50 × 414,966,865.50
  4. Step 4: Simplify right side
    277,220,308.50x = 172,197,499,462,895,104
  5. Step 5: Solve for x
    x = 172,197,499,462,895,104/277,220,308.50
  6. Step 6: Final answer
    x = 621,157,592.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.