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Finding the Third Proportional to 65,014,342.59 and 98,072,639.44

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Solution

The third proportional to 65,014,342.59 and 98,072,639.44 is: 147,940,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014,342.59 : 98,072,639.44 = 98,072,639.44 : x
  2. Step 2: Convert to fraction form
    65,014,342.59/98,072,639.44 = 98,072,639.44/x
  3. Step 3: Cross multiply
    65,014,342.59x = 98,072,639.44 × 98,072,639.44
  4. Step 4: Simplify right side
    65,014,342.59x = 9,618,242,606,237,880
  5. Step 5: Solve for x
    x = 9,618,242,606,237,880/65,014,342.59
  6. Step 6: Final answer
    x = 147,940,319.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.