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Finding the Third Proportional to 186,516,007,947 and 286,511,402,355

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Solution

The third proportional to 186,516,007,947 and 286,511,402,355 is: 440,116,559,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,516,007,947 : 286,511,402,355 = 286,511,402,355 : x
  2. Step 2: Convert to fraction form
    186,516,007,947/286,511,402,355 = 286,511,402,355/x
  3. Step 3: Cross multiply
    186,516,007,947x = 286,511,402,355 × 286,511,402,355
  4. Step 4: Simplify right side
    186,516,007,947x = 82,088,783,679,428,698,832,896
  5. Step 5: Solve for x
    x = 82,088,783,679,428,698,832,896/186,516,007,947
  6. Step 6: Final answer
    x = 440,116,559,339.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.