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Finding the Third Proportional to 186,943,141.13 and 432,739,522.69

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Solution

The third proportional to 186,943,141.13 and 432,739,522.69 is: 1,001,713,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,943,141.13 : 432,739,522.69 = 432,739,522.69 : x
  2. Step 2: Convert to fraction form
    186,943,141.13/432,739,522.69 = 432,739,522.69/x
  3. Step 3: Cross multiply
    186,943,141.13x = 432,739,522.69 × 432,739,522.69
  4. Step 4: Simplify right side
    186,943,141.13x = 187,263,494,495,805,312
  5. Step 5: Solve for x
    x = 187,263,494,495,805,312/186,943,141.13
  6. Step 6: Final answer
    x = 1,001,713,640.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.