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Finding the Third Proportional to 145,075,426 and 318,651,392

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Solution

The third proportional to 145,075,426 and 318,651,392 is: 699,902,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,075,426 : 318,651,392 = 318,651,392 : x
  2. Step 2: Convert to fraction form
    145,075,426/318,651,392 = 318,651,392/x
  3. Step 3: Cross multiply
    145,075,426x = 318,651,392 × 318,651,392
  4. Step 4: Simplify right side
    145,075,426x = 101,538,709,623,537,664
  5. Step 5: Solve for x
    x = 101,538,709,623,537,664/145,075,426
  6. Step 6: Final answer
    x = 699,902,887.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.