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Finding the Third Proportional to 98,262,139 and 210,327,772

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Solution

The third proportional to 98,262,139 and 210,327,772 is: 450,201,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262,139 : 210,327,772 = 210,327,772 : x
  2. Step 2: Convert to fraction form
    98,262,139/210,327,772 = 210,327,772/x
  3. Step 3: Cross multiply
    98,262,139x = 210,327,772 × 210,327,772
  4. Step 4: Simplify right side
    98,262,139x = 44,237,771,674,483,984
  5. Step 5: Solve for x
    x = 44,237,771,674,483,984/98,262,139
  6. Step 6: Final answer
    x = 450,201,594.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.