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Finding the Third Proportional to 123,418,153.50 and 257,051,554.50

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Solution

The third proportional to 123,418,153.50 and 257,051,554.50 is: 535,379,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,418,153.50 : 257,051,554.50 = 257,051,554.50 : x
  2. Step 2: Convert to fraction form
    123,418,153.50/257,051,554.50 = 257,051,554.50/x
  3. Step 3: Cross multiply
    123,418,153.50x = 257,051,554.50 × 257,051,554.50
  4. Step 4: Simplify right side
    123,418,153.50x = 66,075,501,670,866,472
  5. Step 5: Solve for x
    x = 66,075,501,670,866,472/123,418,153.50
  6. Step 6: Final answer
    x = 535,379,113.99

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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.