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Finding the Third Proportional to 186,338,424.38 and 403,731,433.69

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Solution

The third proportional to 186,338,424.38 and 403,731,433.69 is: 874,747,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,338,424.38 : 403,731,433.69 = 403,731,433.69 : x
  2. Step 2: Convert to fraction form
    186,338,424.38/403,731,433.69 = 403,731,433.69/x
  3. Step 3: Cross multiply
    186,338,424.38x = 403,731,433.69 × 403,731,433.69
  4. Step 4: Simplify right side
    186,338,424.38x = 162,999,070,547,364,224
  5. Step 5: Solve for x
    x = 162,999,070,547,364,224/186,338,424.38
  6. Step 6: Final answer
    x = 874,747,498.24

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