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Finding the Third Proportional to 190,137,904.50 and 416,590,944

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Solution

The third proportional to 190,137,904.50 and 416,590,944 is: 912,748,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,137,904.50 : 416,590,944 = 416,590,944 : x
  2. Step 2: Convert to fraction form
    190,137,904.50/416,590,944 = 416,590,944/x
  3. Step 3: Cross multiply
    190,137,904.50x = 416,590,944 × 416,590,944
  4. Step 4: Simplify right side
    190,137,904.50x = 173,548,014,622,811,136
  5. Step 5: Solve for x
    x = 173,548,014,622,811,136/190,137,904.50
  6. Step 6: Final answer
    x = 912,748,118.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.