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Finding the Third Proportional to 65,125,058.63 and 97,832,135.25

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Solution

The third proportional to 65,125,058.63 and 97,832,135.25 is: 146,965,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125,058.63 : 97,832,135.25 = 97,832,135.25 : x
  2. Step 2: Convert to fraction form
    65,125,058.63/97,832,135.25 = 97,832,135.25/x
  3. Step 3: Cross multiply
    65,125,058.63x = 97,832,135.25 × 97,832,135.25
  4. Step 4: Simplify right side
    65,125,058.63x = 9,571,126,687,574,292
  5. Step 5: Solve for x
    x = 9,571,126,687,574,292/65,125,058.63
  6. Step 6: Final answer
    x = 146,965,344.67

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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.