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Finding the Third Proportional to 64,085,080 and 137,725,088

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Solution

The third proportional to 64,085,080 and 137,725,088 is: 295,984,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,085,080 : 137,725,088 = 137,725,088 : x
  2. Step 2: Convert to fraction form
    64,085,080/137,725,088 = 137,725,088/x
  3. Step 3: Cross multiply
    64,085,080x = 137,725,088 × 137,725,088
  4. Step 4: Simplify right side
    64,085,080x = 18,968,199,864,607,744
  5. Step 5: Solve for x
    x = 18,968,199,864,607,744/64,085,080
  6. Step 6: Final answer
    x = 295,984,648.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.