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Finding the Third Proportional to 194,898,830 and 433,373,966

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Solution

The third proportional to 194,898,830 and 433,373,966 is: 963,643,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,830 : 433,373,966 = 433,373,966 : x
  2. Step 2: Convert to fraction form
    194,898,830/433,373,966 = 433,373,966/x
  3. Step 3: Cross multiply
    194,898,830x = 433,373,966 × 433,373,966
  4. Step 4: Simplify right side
    194,898,830x = 187,812,994,406,569,152
  5. Step 5: Solve for x
    x = 187,812,994,406,569,152/194,898,830
  6. Step 6: Final answer
    x = 963,643,519.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.