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Finding the Third Proportional to 51,030,369 and 119,952,823.50

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Solution

The third proportional to 51,030,369 and 119,952,823.50 is: 281,963,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030,369 : 119,952,823.50 = 119,952,823.50 : x
  2. Step 2: Convert to fraction form
    51,030,369/119,952,823.50 = 119,952,823.50/x
  3. Step 3: Cross multiply
    51,030,369x = 119,952,823.50 × 119,952,823.50
  4. Step 4: Simplify right side
    51,030,369x = 14,388,679,865,622,152
  5. Step 5: Solve for x
    x = 14,388,679,865,622,152/51,030,369
  6. Step 6: Final answer
    x = 281,963,077.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.