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Finding the Third Proportional to 197,815,075.50 and 290,796,934.50

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Solution

The third proportional to 197,815,075.50 and 290,796,934.50 is: 427,484,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,815,075.50 : 290,796,934.50 = 290,796,934.50 : x
  2. Step 2: Convert to fraction form
    197,815,075.50/290,796,934.50 = 290,796,934.50/x
  3. Step 3: Cross multiply
    197,815,075.50x = 290,796,934.50 × 290,796,934.50
  4. Step 4: Simplify right side
    197,815,075.50x = 84,562,857,114,597,296
  5. Step 5: Solve for x
    x = 84,562,857,114,597,296/197,815,075.50
  6. Step 6: Final answer
    x = 427,484,391.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.