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Finding the Third Proportional to 98,774,381.81 and 212,719,709.25

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Solution

The third proportional to 98,774,381.81 and 212,719,709.25 is: 458,111,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774,381.81 : 212,719,709.25 = 212,719,709.25 : x
  2. Step 2: Convert to fraction form
    98,774,381.81/212,719,709.25 = 212,719,709.25/x
  3. Step 3: Cross multiply
    98,774,381.81x = 212,719,709.25 × 212,719,709.25
  4. Step 4: Simplify right side
    98,774,381.81x = 45,249,674,703,404,536
  5. Step 5: Solve for x
    x = 45,249,674,703,404,536/98,774,381.81
  6. Step 6: Final answer
    x = 458,111,444.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.