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Finding the Third Proportional to 148,034,358 and 320,780,709

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Solution

The third proportional to 148,034,358 and 320,780,709 is: 695,110,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034,358 : 320,780,709 = 320,780,709 : x
  2. Step 2: Convert to fraction form
    148,034,358/320,780,709 = 320,780,709/x
  3. Step 3: Cross multiply
    148,034,358x = 320,780,709 × 320,780,709
  4. Step 4: Simplify right side
    148,034,358x = 102,900,263,266,542,688
  5. Step 5: Solve for x
    x = 102,900,263,266,542,688/148,034,358
  6. Step 6: Final answer
    x = 695,110,680.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.