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Finding the Third Proportional to 45,004,253.25 and 98,185,598.25

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Solution

The third proportional to 45,004,253.25 and 98,185,598.25 is: 214,211,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,004,253.25 : 98,185,598.25 = 98,185,598.25 : x
  2. Step 2: Convert to fraction form
    45,004,253.25/98,185,598.25 = 98,185,598.25/x
  3. Step 3: Cross multiply
    45,004,253.25x = 98,185,598.25 × 98,185,598.25
  4. Step 4: Simplify right side
    45,004,253.25x = 9,640,411,703,710,404
  5. Step 5: Solve for x
    x = 9,640,411,703,710,404/45,004,253.25
  6. Step 6: Final answer
    x = 214,211,124.67

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Why These Related Problems?

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