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Finding the Third Proportional to 75,387,973 and 164,125,271

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Solution

The third proportional to 75,387,973 and 164,125,271 is: 357,313,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,387,973 : 164,125,271 = 164,125,271 : x
  2. Step 2: Convert to fraction form
    75,387,973/164,125,271 = 164,125,271/x
  3. Step 3: Cross multiply
    75,387,973x = 164,125,271 × 164,125,271
  4. Step 4: Simplify right side
    75,387,973x = 26,937,104,580,823,440
  5. Step 5: Solve for x
    x = 26,937,104,580,823,440/75,387,973
  6. Step 6: Final answer
    x = 357,313,023.67

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