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Finding the Third Proportional to 187,596,339.19 and 407,486,684.81

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Solution

The third proportional to 187,596,339.19 and 407,486,684.81 is: 885,120,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,596,339.19 : 407,486,684.81 = 407,486,684.81 : x
  2. Step 2: Convert to fraction form
    187,596,339.19/407,486,684.81 = 407,486,684.81/x
  3. Step 3: Cross multiply
    187,596,339.19x = 407,486,684.81 × 407,486,684.81
  4. Step 4: Simplify right side
    187,596,339.19x = 166,045,398,299,481,728
  5. Step 5: Solve for x
    x = 166,045,398,299,481,728/187,596,339.19
  6. Step 6: Final answer
    x = 885,120,674.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.