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Finding the Third Proportional to 64,225,282.50 and 97,843,592.25

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Solution

The third proportional to 64,225,282.50 and 97,843,592.25 is: 149,059,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,225,282.50 : 97,843,592.25 = 97,843,592.25 : x
  2. Step 2: Convert to fraction form
    64,225,282.50/97,843,592.25 = 97,843,592.25/x
  3. Step 3: Cross multiply
    64,225,282.50x = 97,843,592.25 × 97,843,592.25
  4. Step 4: Simplify right side
    64,225,282.50x = 9,573,368,544,384,260
  5. Step 5: Solve for x
    x = 9,573,368,544,384,260/64,225,282.50
  6. Step 6: Final answer
    x = 149,059,189.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.