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Finding the Third Proportional to 164,683,185.75 and 346,349,661.75

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Solution

The third proportional to 164,683,185.75 and 346,349,661.75 is: 728,417,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,683,185.75 : 346,349,661.75 = 346,349,661.75 : x
  2. Step 2: Convert to fraction form
    164,683,185.75/346,349,661.75 = 346,349,661.75/x
  3. Step 3: Cross multiply
    164,683,185.75x = 346,349,661.75 × 346,349,661.75
  4. Step 4: Simplify right side
    164,683,185.75x = 119,958,088,194,339,408
  5. Step 5: Solve for x
    x = 119,958,088,194,339,408/164,683,185.75
  6. Step 6: Final answer
    x = 728,417,340.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.