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Finding the Third Proportional to 64,244,749.50 and 97,872,817.50

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Solution

The third proportional to 64,244,749.50 and 97,872,817.50 is: 149,103,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,244,749.50 : 97,872,817.50 = 97,872,817.50 : x
  2. Step 2: Convert to fraction form
    64,244,749.50/97,872,817.50 = 97,872,817.50/x
  3. Step 3: Cross multiply
    64,244,749.50x = 97,872,817.50 × 97,872,817.50
  4. Step 4: Simplify right side
    64,244,749.50x = 9,579,088,405,388,306
  5. Step 5: Solve for x
    x = 9,579,088,405,388,306/64,244,749.50
  6. Step 6: Final answer
    x = 149,103,054.80

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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.