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Finding the Third Proportional to 187,596,548 and 407,487,147.50

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Solution

The third proportional to 187,596,548 and 407,487,147.50 is: 885,121,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,596,548 : 407,487,147.50 = 407,487,147.50 : x
  2. Step 2: Convert to fraction form
    187,596,548/407,487,147.50 = 407,487,147.50/x
  3. Step 3: Cross multiply
    187,596,548x = 407,487,147.50 × 407,487,147.50
  4. Step 4: Simplify right side
    187,596,548x = 166,045,775,377,686,752
  5. Step 5: Solve for x
    x = 166,045,775,377,686,752/187,596,548
  6. Step 6: Final answer
    x = 885,121,699.46

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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.