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Finding the Third Proportional to 197,254,802 and 314,147,955

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Solution

The third proportional to 197,254,802 and 314,147,955 is: 500,311,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254,802 : 314,147,955 = 314,147,955 : x
  2. Step 2: Convert to fraction form
    197,254,802/314,147,955 = 314,147,955/x
  3. Step 3: Cross multiply
    197,254,802x = 314,147,955 × 314,147,955
  4. Step 4: Simplify right side
    197,254,802x = 98,688,937,630,682,032
  5. Step 5: Solve for x
    x = 98,688,937,630,682,032/197,254,802
  6. Step 6: Final answer
    x = 500,311,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.