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Finding the Third Proportional to 76,702,395.66 and 164,173,852.69

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Solution

The third proportional to 76,702,395.66 and 164,173,852.69 is: 351,397,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702,395.66 : 164,173,852.69 = 164,173,852.69 : x
  2. Step 2: Convert to fraction form
    76,702,395.66/164,173,852.69 = 164,173,852.69/x
  3. Step 3: Cross multiply
    76,702,395.66x = 164,173,852.69 × 164,173,852.69
  4. Step 4: Simplify right side
    76,702,395.66x = 26,953,053,906,256,952
  5. Step 5: Solve for x
    x = 26,953,053,906,256,952/76,702,395.66
  6. Step 6: Final answer
    x = 351,397,810.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.