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Finding the Third Proportional to 143,266,178,547 and 306,657,850,617

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Solution

The third proportional to 143,266,178,547 and 306,657,850,617 is: 656,393,841,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266,178,547 : 306,657,850,617 = 306,657,850,617 : x
  2. Step 2: Convert to fraction form
    143,266,178,547/306,657,850,617 = 306,657,850,617/x
  3. Step 3: Cross multiply
    143,266,178,547x = 306,657,850,617 × 306,657,850,617
  4. Step 4: Simplify right side
    143,266,178,547x = 94,039,037,345,038,283,571,200
  5. Step 5: Solve for x
    x = 94,039,037,345,038,283,571,200/143,266,178,547
  6. Step 6: Final answer
    x = 656,393,841,859.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.