Finding the Third Proportional to 205,326,238,408 and 301,838,678,979
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Solution
The third proportional to 205,326,238,408 and 301,838,678,979 is: 443,716,248,026.48
Step by Step Solution
- Step 1: Write the proportion equation
205,326,238,408 : 301,838,678,979 = 301,838,678,979 : x - Step 2: Convert to fraction form
205,326,238,408/301,838,678,979 = 301,838,678,979/x - Step 3: Cross multiply
205,326,238,408x = 301,838,678,979 × 301,838,678,979 - Step 4: Simplify right side
205,326,238,408x = 91,106,588,127,787,822,874,624 - Step 5: Solve for x
x = 91,106,588,127,787,822,874,624/205,326,238,408 - Step 6: Final answer
x = 443,716,248,026.48
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.