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Finding the Third Proportional to 190,407,247.50 and 414,617,386.50

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Solution

The third proportional to 190,407,247.50 and 414,617,386.50 is: 902,841,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,407,247.50 : 414,617,386.50 = 414,617,386.50 : x
  2. Step 2: Convert to fraction form
    190,407,247.50/414,617,386.50 = 414,617,386.50/x
  3. Step 3: Cross multiply
    190,407,247.50x = 414,617,386.50 × 414,617,386.50
  4. Step 4: Simplify right side
    190,407,247.50x = 171,907,577,188,090,368
  5. Step 5: Solve for x
    x = 171,907,577,188,090,368/190,407,247.50
  6. Step 6: Final answer
    x = 902,841,564.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.