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Finding the Third Proportional to 97,653,306 and 132,987,135

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Solution

The third proportional to 97,653,306 and 132,987,135 is: 181,105,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653,306 : 132,987,135 = 132,987,135 : x
  2. Step 2: Convert to fraction form
    97,653,306/132,987,135 = 132,987,135/x
  3. Step 3: Cross multiply
    97,653,306x = 132,987,135 × 132,987,135
  4. Step 4: Simplify right side
    97,653,306x = 17,685,578,075,508,224
  5. Step 5: Solve for x
    x = 17,685,578,075,508,224/97,653,306
  6. Step 6: Final answer
    x = 181,105,779.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.