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Finding the Third Proportional to 183,114,688.50 and 256,133,742.75

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Solution

The third proportional to 183,114,688.50 and 256,133,742.75 is: 358,269,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,114,688.50 : 256,133,742.75 = 256,133,742.75 : x
  2. Step 2: Convert to fraction form
    183,114,688.50/256,133,742.75 = 256,133,742.75/x
  3. Step 3: Cross multiply
    183,114,688.50x = 256,133,742.75 × 256,133,742.75
  4. Step 4: Simplify right side
    183,114,688.50x = 65,604,494,175,123,176
  5. Step 5: Solve for x
    x = 65,604,494,175,123,176/183,114,688.50
  6. Step 6: Final answer
    x = 358,269,971.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.