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Finding the Third Proportional to 165,110,962.50 and 359,276,503.50

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Solution

The third proportional to 165,110,962.50 and 359,276,503.50 is: 781,774,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,110,962.50 : 359,276,503.50 = 359,276,503.50 : x
  2. Step 2: Convert to fraction form
    165,110,962.50/359,276,503.50 = 359,276,503.50/x
  3. Step 3: Cross multiply
    165,110,962.50x = 359,276,503.50 × 359,276,503.50
  4. Step 4: Simplify right side
    165,110,962.50x = 129,079,605,967,185,520
  5. Step 5: Solve for x
    x = 129,079,605,967,185,520/165,110,962.50
  6. Step 6: Final answer
    x = 781,774,898.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.