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Finding the Third Proportional to 146,763,742.50 and 314,536,284

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Solution

The third proportional to 146,763,742.50 and 314,536,284 is: 674,097,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,763,742.50 : 314,536,284 = 314,536,284 : x
  2. Step 2: Convert to fraction form
    146,763,742.50/314,536,284 = 314,536,284/x
  3. Step 3: Cross multiply
    146,763,742.50x = 314,536,284 × 314,536,284
  4. Step 4: Simplify right side
    146,763,742.50x = 98,933,073,952,528,656
  5. Step 5: Solve for x
    x = 98,933,073,952,528,656/146,763,742.50
  6. Step 6: Final answer
    x = 674,097,513.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.