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Finding the Third Proportional to 190,633,368 and 294,577,128

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Solution

The third proportional to 190,633,368 and 294,577,128 is: 455,196,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633,368 : 294,577,128 = 294,577,128 : x
  2. Step 2: Convert to fraction form
    190,633,368/294,577,128 = 294,577,128/x
  3. Step 3: Cross multiply
    190,633,368x = 294,577,128 × 294,577,128
  4. Step 4: Simplify right side
    190,633,368x = 86,775,684,340,728,384
  5. Step 5: Solve for x
    x = 86,775,684,340,728,384/190,633,368
  6. Step 6: Final answer
    x = 455,196,722.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.