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Finding the Third Proportional to 65,453,319 and 97,612,384.50

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Solution

The third proportional to 65,453,319 and 97,612,384.50 is: 145,572,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,453,319 : 97,612,384.50 = 97,612,384.50 : x
  2. Step 2: Convert to fraction form
    65,453,319/97,612,384.50 = 97,612,384.50/x
  3. Step 3: Cross multiply
    65,453,319x = 97,612,384.50 × 97,612,384.50
  4. Step 4: Simplify right side
    65,453,319x = 9,528,177,607,775,840
  5. Step 5: Solve for x
    x = 9,528,177,607,775,840/65,453,319
  6. Step 6: Final answer
    x = 145,572,107.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.