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Finding the Third Proportional to 191,927,120 and 414,436,612

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Solution

The third proportional to 191,927,120 and 414,436,612 is: 894,911,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,927,120 : 414,436,612 = 414,436,612 : x
  2. Step 2: Convert to fraction form
    191,927,120/414,436,612 = 414,436,612/x
  3. Step 3: Cross multiply
    191,927,120x = 414,436,612 × 414,436,612
  4. Step 4: Simplify right side
    191,927,120x = 171,757,705,366,038,528
  5. Step 5: Solve for x
    x = 171,757,705,366,038,528/191,927,120
  6. Step 6: Final answer
    x = 894,911,075.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.