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Finding the Third Proportional to 174,621,681 and 291,018,595.50

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Solution

The third proportional to 174,621,681 and 291,018,595.50 is: 485,001,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,621,681 : 291,018,595.50 = 291,018,595.50 : x
  2. Step 2: Convert to fraction form
    174,621,681/291,018,595.50 = 291,018,595.50/x
  3. Step 3: Cross multiply
    174,621,681x = 291,018,595.50 × 291,018,595.50
  4. Step 4: Simplify right side
    174,621,681x = 84,691,822,926,792,624
  5. Step 5: Solve for x
    x = 84,691,822,926,792,624/174,621,681
  6. Step 6: Final answer
    x = 485,001,761.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.