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Finding the Third Proportional to 129,011,972,092 and 201,938,972,466

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Solution

The third proportional to 129,011,972,092 and 201,938,972,466 is: 316,089,646,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,011,972,092 : 201,938,972,466 = 201,938,972,466 : x
  2. Step 2: Convert to fraction form
    129,011,972,092/201,938,972,466 = 201,938,972,466/x
  3. Step 3: Cross multiply
    129,011,972,092x = 201,938,972,466 × 201,938,972,466
  4. Step 4: Simplify right side
    129,011,972,092x = 40,779,348,600,623,902,752,768
  5. Step 5: Solve for x
    x = 40,779,348,600,623,902,752,768/129,011,972,092
  6. Step 6: Final answer
    x = 316,089,646,095.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.