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Finding the Third Proportional to 164,446,352.81 and 365,660,164.88

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Solution

The third proportional to 164,446,352.81 and 365,660,164.88 is: 813,075,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,446,352.81 : 365,660,164.88 = 365,660,164.88 : x
  2. Step 2: Convert to fraction form
    164,446,352.81/365,660,164.88 = 365,660,164.88/x
  3. Step 3: Cross multiply
    164,446,352.81x = 365,660,164.88 × 365,660,164.88
  4. Step 4: Simplify right side
    164,446,352.81x = 133,707,356,176,412,176
  5. Step 5: Solve for x
    x = 133,707,356,176,412,176/164,446,352.81
  6. Step 6: Final answer
    x = 813,075,838.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.