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Finding the Third Proportional to 95,048,913,143.50 and 201,429,875,590

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Solution

The third proportional to 95,048,913,143.50 and 201,429,875,590 is: 426,874,894,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,048,913,143.50 : 201,429,875,590 = 201,429,875,590 : x
  2. Step 2: Convert to fraction form
    95,048,913,143.50/201,429,875,590 = 201,429,875,590/x
  3. Step 3: Cross multiply
    95,048,913,143.50x = 201,429,875,590 × 201,429,875,590
  4. Step 4: Simplify right side
    95,048,913,143.50x = 40,573,994,780,202,878,631,936
  5. Step 5: Solve for x
    x = 40,573,994,780,202,878,631,936/95,048,913,143.50
  6. Step 6: Final answer
    x = 426,874,894,602.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.