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Finding the Third Proportional to 64,244,741.63 and 97,872,802.88

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Solution

The third proportional to 64,244,741.63 and 97,872,802.88 is: 149,103,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,244,741.63 : 97,872,802.88 = 97,872,802.88 : x
  2. Step 2: Convert to fraction form
    64,244,741.63/97,872,802.88 = 97,872,802.88/x
  3. Step 3: Cross multiply
    64,244,741.63x = 97,872,802.88 × 97,872,802.88
  4. Step 4: Simplify right side
    64,244,741.63x = 9,579,085,542,608,608
  5. Step 5: Solve for x
    x = 9,579,085,542,608,608/64,244,741.63
  6. Step 6: Final answer
    x = 149,103,028.52

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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.