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Finding the Third Proportional to 90,784,730 and 188,029,243.50

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Solution

The third proportional to 90,784,730 and 188,029,243.50 is: 389,437,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,730 : 188,029,243.50 = 188,029,243.50 : x
  2. Step 2: Convert to fraction form
    90,784,730/188,029,243.50 = 188,029,243.50/x
  3. Step 3: Cross multiply
    90,784,730x = 188,029,243.50 × 188,029,243.50
  4. Step 4: Simplify right side
    90,784,730x = 35,354,996,411,182,292
  5. Step 5: Solve for x
    x = 35,354,996,411,182,292/90,784,730
  6. Step 6: Final answer
    x = 389,437,699.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.