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Finding the Third Proportional to 186,163,552.50 and 299,959,075.50

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Solution

The third proportional to 186,163,552.50 and 299,959,075.50 is: 483,313,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,163,552.50 : 299,959,075.50 = 299,959,075.50 : x
  2. Step 2: Convert to fraction form
    186,163,552.50/299,959,075.50 = 299,959,075.50/x
  3. Step 3: Cross multiply
    186,163,552.50x = 299,959,075.50 × 299,959,075.50
  4. Step 4: Simplify right side
    186,163,552.50x = 89,975,446,974,814,704
  5. Step 5: Solve for x
    x = 89,975,446,974,814,704/186,163,552.50
  6. Step 6: Final answer
    x = 483,313,977.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.