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Finding the Third Proportional to 191,927,403 and 414,437,555.25

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Solution

The third proportional to 191,927,403 and 414,437,555.25 is: 894,913,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,927,403 : 414,437,555.25 = 414,437,555.25 : x
  2. Step 2: Convert to fraction form
    191,927,403/414,437,555.25 = 414,437,555.25/x
  3. Step 3: Cross multiply
    191,927,403x = 414,437,555.25 × 414,437,555.25
  4. Step 4: Simplify right side
    191,927,403x = 171,758,487,201,596,800
  5. Step 5: Solve for x
    x = 171,758,487,201,596,800/191,927,403
  6. Step 6: Final answer
    x = 894,913,829.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.