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Finding the Third Proportional to 191,313,266,922 and 411,018,038,486

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Solution

The third proportional to 191,313,266,922 and 411,018,038,486 is: 883,032,476,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,313,266,922 : 411,018,038,486 = 411,018,038,486 : x
  2. Step 2: Convert to fraction form
    191,313,266,922/411,018,038,486 = 411,018,038,486/x
  3. Step 3: Cross multiply
    191,313,266,922x = 411,018,038,486 × 411,018,038,486
  4. Step 4: Simplify right side
    191,313,266,922x = 168,935,827,960,878,967,291,904
  5. Step 5: Solve for x
    x = 168,935,827,960,878,967,291,904/191,313,266,922
  6. Step 6: Final answer
    x = 883,032,476,936.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.