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Finding the Third Proportional to 65,530,498.50 and 101,748,587.50

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Solution

The third proportional to 65,530,498.50 and 101,748,587.50 is: 157,984,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530,498.50 : 101,748,587.50 = 101,748,587.50 : x
  2. Step 2: Convert to fraction form
    65,530,498.50/101,748,587.50 = 101,748,587.50/x
  3. Step 3: Cross multiply
    65,530,498.50x = 101,748,587.50 × 101,748,587.50
  4. Step 4: Simplify right side
    65,530,498.50x = 10,352,775,058,245,156
  5. Step 5: Solve for x
    x = 10,352,775,058,245,156/65,530,498.50
  6. Step 6: Final answer
    x = 157,984,072.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.