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Finding the Third Proportional to 45,346,363,014 and 98,238,345,405

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Solution

The third proportional to 45,346,363,014 and 98,238,345,405 is: 212,823,518,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346,363,014 : 98,238,345,405 = 98,238,345,405 : x
  2. Step 2: Convert to fraction form
    45,346,363,014/98,238,345,405 = 98,238,345,405/x
  3. Step 3: Cross multiply
    45,346,363,014x = 98,238,345,405 × 98,238,345,405
  4. Step 4: Simplify right side
    45,346,363,014x = 9,650,772,507,912,084,389,888
  5. Step 5: Solve for x
    x = 9,650,772,507,912,084,389,888/45,346,363,014
  6. Step 6: Final answer
    x = 212,823,518,061.03

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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.