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Finding the Third Proportional to 186,516,007,949 and 286,511,402,358

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Solution

The third proportional to 186,516,007,949 and 286,511,402,358 is: 440,116,559,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,516,007,949 : 286,511,402,358 = 286,511,402,358 : x
  2. Step 2: Convert to fraction form
    186,516,007,949/286,511,402,358 = 286,511,402,358/x
  3. Step 3: Cross multiply
    186,516,007,949x = 286,511,402,358 × 286,511,402,358
  4. Step 4: Simplify right side
    186,516,007,949x = 82,088,783,681,147,776,270,336
  5. Step 5: Solve for x
    x = 82,088,783,681,147,776,270,336/186,516,007,949
  6. Step 6: Final answer
    x = 440,116,559,344.30

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