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Finding the Third Proportional to 186,294,257,368.50 and 405,229,196,409

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Solution

The third proportional to 186,294,257,368.50 and 405,229,196,409 is: 881,458,741,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,257,368.50 : 405,229,196,409 = 405,229,196,409 : x
  2. Step 2: Convert to fraction form
    186,294,257,368.50/405,229,196,409 = 405,229,196,409/x
  3. Step 3: Cross multiply
    186,294,257,368.50x = 405,229,196,409 × 405,229,196,409
  4. Step 4: Simplify right side
    186,294,257,368.50x = 164,210,701,622,283,885,084,672
  5. Step 5: Solve for x
    x = 164,210,701,622,283,885,084,672/186,294,257,368.50
  6. Step 6: Final answer
    x = 881,458,741,358.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.