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Finding the Third Proportional to 299,149,332 and 459,529,968

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Solution

The third proportional to 299,149,332 and 459,529,968 is: 705,894,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,332 : 459,529,968 = 459,529,968 : x
  2. Step 2: Convert to fraction form
    299,149,332/459,529,968 = 459,529,968/x
  3. Step 3: Cross multiply
    299,149,332x = 459,529,968 × 459,529,968
  4. Step 4: Simplify right side
    299,149,332x = 211,167,791,490,081,024
  5. Step 5: Solve for x
    x = 211,167,791,490,081,024/299,149,332
  6. Step 6: Final answer
    x = 705,894,243.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.