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Finding the Third Proportional to 46,303,526 and 100,578,316

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Solution

The third proportional to 46,303,526 and 100,578,316 is: 218,471,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,303,526 : 100,578,316 = 100,578,316 : x
  2. Step 2: Convert to fraction form
    46,303,526/100,578,316 = 100,578,316/x
  3. Step 3: Cross multiply
    46,303,526x = 100,578,316 × 100,578,316
  4. Step 4: Simplify right side
    46,303,526x = 10,115,997,649,395,856
  5. Step 5: Solve for x
    x = 10,115,997,649,395,856/46,303,526
  6. Step 6: Final answer
    x = 218,471,432.38

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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.