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Finding the Third Proportional to 97,547,075 and 227,617,702

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Solution

The third proportional to 97,547,075 and 227,617,702 is: 531,126,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,547,075 : 227,617,702 = 227,617,702 : x
  2. Step 2: Convert to fraction form
    97,547,075/227,617,702 = 227,617,702/x
  3. Step 3: Cross multiply
    97,547,075x = 227,617,702 × 227,617,702
  4. Step 4: Simplify right side
    97,547,075x = 51,809,818,263,760,800
  5. Step 5: Solve for x
    x = 51,809,818,263,760,800/97,547,075
  6. Step 6: Final answer
    x = 531,126,312.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.