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Finding the Third Proportional to 125,384,299 and 193,666,385

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Solution

The third proportional to 125,384,299 and 193,666,385 is: 299,133,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384,299 : 193,666,385 = 193,666,385 : x
  2. Step 2: Convert to fraction form
    125,384,299/193,666,385 = 193,666,385/x
  3. Step 3: Cross multiply
    125,384,299x = 193,666,385 × 193,666,385
  4. Step 4: Simplify right side
    125,384,299x = 37,506,668,678,968,224
  5. Step 5: Solve for x
    x = 37,506,668,678,968,224/125,384,299
  6. Step 6: Final answer
    x = 299,133,695.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.