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Finding the Third Proportional to 154,690,506 and 223,709,445

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Solution

The third proportional to 154,690,506 and 223,709,445 is: 323,522,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,690,506 : 223,709,445 = 223,709,445 : x
  2. Step 2: Convert to fraction form
    154,690,506/223,709,445 = 223,709,445/x
  3. Step 3: Cross multiply
    154,690,506x = 223,709,445 × 223,709,445
  4. Step 4: Simplify right side
    154,690,506x = 50,045,915,782,208,024
  5. Step 5: Solve for x
    x = 50,045,915,782,208,024/154,690,506
  6. Step 6: Final answer
    x = 323,522,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.