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Finding the Third Proportional to 186,338,428.50 and 403,731,443

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Solution

The third proportional to 186,338,428.50 and 403,731,443 is: 874,747,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,338,428.50 : 403,731,443 = 403,731,443 : x
  2. Step 2: Convert to fraction form
    186,338,428.50/403,731,443 = 403,731,443/x
  3. Step 3: Cross multiply
    186,338,428.50x = 403,731,443 × 403,731,443
  4. Step 4: Simplify right side
    186,338,428.50x = 162,999,078,066,862,240
  5. Step 5: Solve for x
    x = 162,999,078,066,862,240/186,338,428.50
  6. Step 6: Final answer
    x = 874,747,519.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.