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Finding the Third Proportional to 98,262,141 and 210,327,776

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Solution

The third proportional to 98,262,141 and 210,327,776 is: 450,201,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262,141 : 210,327,776 = 210,327,776 : x
  2. Step 2: Convert to fraction form
    98,262,141/210,327,776 = 210,327,776/x
  3. Step 3: Cross multiply
    98,262,141x = 210,327,776 × 210,327,776
  4. Step 4: Simplify right side
    98,262,141x = 44,237,773,357,106,176
  5. Step 5: Solve for x
    x = 44,237,773,357,106,176/98,262,141
  6. Step 6: Final answer
    x = 450,201,602.64

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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.