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Finding the Third Proportional to 123,418,145.25 and 257,051,535.75

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Solution

The third proportional to 123,418,145.25 and 257,051,535.75 is: 535,379,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,418,145.25 : 257,051,535.75 = 257,051,535.75 : x
  2. Step 2: Convert to fraction form
    123,418,145.25/257,051,535.75 = 257,051,535.75/x
  3. Step 3: Cross multiply
    123,418,145.25x = 257,051,535.75 × 257,051,535.75
  4. Step 4: Simplify right side
    123,418,145.25x = 66,075,492,031,433,528
  5. Step 5: Solve for x
    x = 66,075,492,031,433,528/123,418,145.25
  6. Step 6: Final answer
    x = 535,379,071.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.