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Finding the Third Proportional to 99,594,213,190 and 215,090,225,851

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Solution

The third proportional to 99,594,213,190 and 215,090,225,851 is: 464,523,025,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,594,213,190 : 215,090,225,851 = 215,090,225,851 : x
  2. Step 2: Convert to fraction form
    99,594,213,190/215,090,225,851 = 215,090,225,851/x
  3. Step 3: Cross multiply
    99,594,213,190x = 215,090,225,851 × 215,090,225,851
  4. Step 4: Simplify right side
    99,594,213,190x = 46,263,805,256,634,191,577,088
  5. Step 5: Solve for x
    x = 46,263,805,256,634,191,577,088/99,594,213,190
  6. Step 6: Final answer
    x = 464,523,025,734.18

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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.