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Finding the Third Proportional to 94,008,858.19 and 206,178,053.06

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Solution

The third proportional to 94,008,858.19 and 206,178,053.06 is: 452,184,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,008,858.19 : 206,178,053.06 = 206,178,053.06 : x
  2. Step 2: Convert to fraction form
    94,008,858.19/206,178,053.06 = 206,178,053.06/x
  3. Step 3: Cross multiply
    94,008,858.19x = 206,178,053.06 × 206,178,053.06
  4. Step 4: Simplify right side
    94,008,858.19x = 42,509,389,564,643,064
  5. Step 5: Solve for x
    x = 42,509,389,564,643,064/94,008,858.19
  6. Step 6: Final answer
    x = 452,184,936.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.