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Finding the Third Proportional to 75,709,174 and 164,704,376

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Solution

The third proportional to 75,709,174 and 164,704,376 is: 358,312,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709,174 : 164,704,376 = 164,704,376 : x
  2. Step 2: Convert to fraction form
    75,709,174/164,704,376 = 164,704,376/x
  3. Step 3: Cross multiply
    75,709,174x = 164,704,376 × 164,704,376
  4. Step 4: Simplify right side
    75,709,174x = 27,127,531,473,549,376
  5. Step 5: Solve for x
    x = 27,127,531,473,549,376/75,709,174
  6. Step 6: Final answer
    x = 358,312,342.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.