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Finding the Third Proportional to 75,388,534 and 164,126,354

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Solution

The third proportional to 75,388,534 and 164,126,354 is: 357,315,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,388,534 : 164,126,354 = 164,126,354 : x
  2. Step 2: Convert to fraction form
    75,388,534/164,126,354 = 164,126,354/x
  3. Step 3: Cross multiply
    75,388,534x = 164,126,354 × 164,126,354
  4. Step 4: Simplify right side
    75,388,534x = 26,937,460,077,333,316
  5. Step 5: Solve for x
    x = 26,937,460,077,333,316/75,388,534
  6. Step 6: Final answer
    x = 357,315,080.27

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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.