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Finding the Third Proportional to 91,143,778.50 and 130,242,298.50

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Solution

The third proportional to 91,143,778.50 and 130,242,298.50 is: 186,113,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,143,778.50 : 130,242,298.50 = 130,242,298.50 : x
  2. Step 2: Convert to fraction form
    91,143,778.50/130,242,298.50 = 130,242,298.50/x
  3. Step 3: Cross multiply
    91,143,778.50x = 130,242,298.50 × 130,242,298.50
  4. Step 4: Simplify right side
    91,143,778.50x = 16,963,056,318,563,102
  5. Step 5: Solve for x
    x = 16,963,056,318,563,102/91,143,778.50
  6. Step 6: Final answer
    x = 186,113,156.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.