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Finding the Third Proportional to 92,537,915,813 and 201,504,038,854

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Solution

The third proportional to 92,537,915,813 and 201,504,038,854 is: 438,780,983,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,537,915,813 : 201,504,038,854 = 201,504,038,854 : x
  2. Step 2: Convert to fraction form
    92,537,915,813/201,504,038,854 = 201,504,038,854/x
  3. Step 3: Cross multiply
    92,537,915,813x = 201,504,038,854 × 201,504,038,854
  4. Step 4: Simplify right side
    92,537,915,813x = 40,603,877,674,474,339,827,712
  5. Step 5: Solve for x
    x = 40,603,877,674,474,339,827,712/92,537,915,813
  6. Step 6: Final answer
    x = 438,780,983,100.23

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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.