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Finding the Third Proportional to 308,620,330.50 and 470,165,773.50

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Solution

The third proportional to 308,620,330.50 and 470,165,773.50 is: 716,271,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,620,330.50 : 470,165,773.50 = 470,165,773.50 : x
  2. Step 2: Convert to fraction form
    308,620,330.50/470,165,773.50 = 470,165,773.50/x
  3. Step 3: Cross multiply
    308,620,330.50x = 470,165,773.50 × 470,165,773.50
  4. Step 4: Simplify right side
    308,620,330.50x = 221,055,854,570,853,312
  5. Step 5: Solve for x
    x = 221,055,854,570,853,312/308,620,330.50
  6. Step 6: Final answer
    x = 716,271,200.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.