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Finding the Third Proportional to 129,028,496,835 and 202,407,638,147.25

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Solution

The third proportional to 129,028,496,835 and 202,407,638,147.25 is: 317,517,858,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,028,496,835 : 202,407,638,147.25 = 202,407,638,147.25 : x
  2. Step 2: Convert to fraction form
    129,028,496,835/202,407,638,147.25 = 202,407,638,147.25/x
  3. Step 3: Cross multiply
    129,028,496,835x = 202,407,638,147.25 × 202,407,638,147.25
  4. Step 4: Simplify right side
    129,028,496,835x = 40,968,851,980,348,095,987,712
  5. Step 5: Solve for x
    x = 40,968,851,980,348,095,987,712/129,028,496,835
  6. Step 6: Final answer
    x = 317,517,858,343.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.