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Finding the Third Proportional to 77,574,924 and 164,606,305.50

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Solution

The third proportional to 77,574,924 and 164,606,305.50 is: 349,278,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574,924 : 164,606,305.50 = 164,606,305.50 : x
  2. Step 2: Convert to fraction form
    77,574,924/164,606,305.50 = 164,606,305.50/x
  3. Step 3: Cross multiply
    77,574,924x = 164,606,305.50 × 164,606,305.50
  4. Step 4: Simplify right side
    77,574,924x = 27,095,235,810,359,332
  5. Step 5: Solve for x
    x = 27,095,235,810,359,332/77,574,924
  6. Step 6: Final answer
    x = 349,278,277.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.