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Finding the Third Proportional to 201,896,169 and 438,249,505.50

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Solution

The third proportional to 201,896,169 and 438,249,505.50 is: 951,294,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896,169 : 438,249,505.50 = 438,249,505.50 : x
  2. Step 2: Convert to fraction form
    201,896,169/438,249,505.50 = 438,249,505.50/x
  3. Step 3: Cross multiply
    201,896,169x = 438,249,505.50 × 438,249,505.50
  4. Step 4: Simplify right side
    201,896,169x = 192,062,629,070,994,528
  5. Step 5: Solve for x
    x = 192,062,629,070,994,528/201,896,169
  6. Step 6: Final answer
    x = 951,294,073.69

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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.